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Simplifying 5(x + y) + -4(3x + -2y + 1) = 0 (x * 5 + y * 5) + -4(3x + -2y + 1) = 0 (5x + 5y) + -4(3x + -2y + 1) = 0 Reorder the terms: 5x + 5y + -4(1 + 3x + -2y) = 0 5x + 5y + (1 * -4 + 3x * -4 + -2y * -4) = 0 5x + 5y + (-4 + -12x + 8y) = 0 Reorder the terms: -4 + 5x + -12x + 5y + 8y = 0 Combine like terms: 5x + -12x = -7x -4 + -7x + 5y + 8y = 0 Combine like terms: 5y + 8y = 13y -4 + -7x + 13y = 0 Solving -4 + -7x + 13y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -7x + 4 + 13y = 0 + 4 Reorder the terms: -4 + 4 + -7x + 13y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -7x + 13y = 0 + 4 -7x + 13y = 0 + 4 Combine like terms: 0 + 4 = 4 -7x + 13y = 4 Add '-13y' to each side of the equation. -7x + 13y + -13y = 4 + -13y Combine like terms: 13y + -13y = 0 -7x + 0 = 4 + -13y -7x = 4 + -13y Divide each side by '-7'. x = -0.5714285714 + 1.857142857y Simplifying x = -0.5714285714 + 1.857142857y
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