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Simplifying x + 30 + -0.007(210x + -4000) + 4y = 20x + -20y(0.5x) + -1y(x + 33) Reorder the terms: x + 30 + -0.007(-4000 + 210x) + 4y = 20x + -20y(0.5x) + -1y(x + 33) x + 30 + (-4000 * -0.007 + 210x * -0.007) + 4y = 20x + -20y(0.5x) + -1y(x + 33) x + 30 + (28 + -1.47x) + 4y = 20x + -20y(0.5x) + -1y(x + 33) Reorder the terms: 30 + 28 + x + -1.47x + 4y = 20x + -20y(0.5x) + -1y(x + 33) Combine like terms: 30 + 28 = 58 58 + x + -1.47x + 4y = 20x + -20y(0.5x) + -1y(x + 33) Combine like terms: x + -1.47x = -0.47x 58 + -0.47x + 4y = 20x + -20y(0.5x) + -1y(x + 33) Remove parenthesis around (0.5x) 58 + -0.47x + 4y = 20x + -20y * 0.5x + -1y(x + 33) Reorder the terms for easier multiplication: 58 + -0.47x + 4y = 20x + -20 * 0.5y * x + -1y(x + 33) Multiply -20 * 0.5 58 + -0.47x + 4y = 20x + -10y * x + -1y(x + 33) Multiply y * x 58 + -0.47x + 4y = 20x + -10xy + -1y(x + 33) Reorder the terms: 58 + -0.47x + 4y = 20x + -10xy + -1y(33 + x) 58 + -0.47x + 4y = 20x + -10xy + (33 * -1y + x * -1y) Reorder the terms: 58 + -0.47x + 4y = 20x + -10xy + (-1xy + -33y) 58 + -0.47x + 4y = 20x + -10xy + (-1xy + -33y) Combine like terms: -10xy + -1xy = -11xy 58 + -0.47x + 4y = 20x + -11xy + -33y Solving 58 + -0.47x + 4y = 20x + -11xy + -33y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 58 + -0.47x + -20x + 4y = 20x + -11xy + -20x + -33y Combine like terms: -0.47x + -20x = -20.47x 58 + -20.47x + 4y = 20x + -11xy + -20x + -33y Reorder the terms: 58 + -20.47x + 4y = 20x + -20x + -11xy + -33y Combine like terms: 20x + -20x = 0 58 + -20.47x + 4y = 0 + -11xy + -33y 58 + -20.47x + 4y = -11xy + -33y Add '11xy' to each side of the equation. 58 + -20.47x + 11xy + 4y = -11xy + 11xy + -33y Combine like terms: -11xy + 11xy = 0 58 + -20.47x + 11xy + 4y = 0 + -33y 58 + -20.47x + 11xy + 4y = -33y Add '-58' to each side of the equation. 58 + -20.47x + 11xy + -58 + 4y = -58 + -33y Reorder the terms: 58 + -58 + -20.47x + 11xy + 4y = -58 + -33y Combine like terms: 58 + -58 = 0 0 + -20.47x + 11xy + 4y = -58 + -33y -20.47x + 11xy + 4y = -58 + -33y Add '-4y' to each side of the equation. -20.47x + 11xy + 4y + -4y = -58 + -33y + -4y Combine like terms: 4y + -4y = 0 -20.47x + 11xy + 0 = -58 + -33y + -4y -20.47x + 11xy = -58 + -33y + -4y Combine like terms: -33y + -4y = -37y -20.47x + 11xy = -58 + -37y Reorder the terms: 58 + -20.47x + 11xy + 37y = -58 + -37y + 58 + 37y Reorder the terms: 58 + -20.47x + 11xy + 37y = -58 + 58 + -37y + 37y Combine like terms: -58 + 58 = 0 58 + -20.47x + 11xy + 37y = 0 + -37y + 37y 58 + -20.47x + 11xy + 37y = -37y + 37y Combine like terms: -37y + 37y = 0 58 + -20.47x + 11xy + 37y = 0 The solution to this equation could not be determined.
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