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Simplifying 5(x + 4y) + -2 + 3(x + 4) = 0 (x * 5 + 4y * 5) + -2 + 3(x + 4) = 0 (5x + 20y) + -2 + 3(x + 4) = 0 Reorder the terms: 5x + 20y + -2 + 3(4 + x) = 0 5x + 20y + -2 + (4 * 3 + x * 3) = 0 5x + 20y + -2 + (12 + 3x) = 0 Reorder the terms: -2 + 12 + 5x + 3x + 20y = 0 Combine like terms: -2 + 12 = 10 10 + 5x + 3x + 20y = 0 Combine like terms: 5x + 3x = 8x 10 + 8x + 20y = 0 Solving 10 + 8x + 20y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 8x + -10 + 20y = 0 + -10 Reorder the terms: 10 + -10 + 8x + 20y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 8x + 20y = 0 + -10 8x + 20y = 0 + -10 Combine like terms: 0 + -10 = -10 8x + 20y = -10 Add '-20y' to each side of the equation. 8x + 20y + -20y = -10 + -20y Combine like terms: 20y + -20y = 0 8x + 0 = -10 + -20y 8x = -10 + -20y Divide each side by '8'. x = -1.25 + -2.5y Simplifying x = -1.25 + -2.5y
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