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Simplifying 5(x + 12) + -2(x + -9) + -4(x + -3) = 5 Reorder the terms: 5(12 + x) + -2(x + -9) + -4(x + -3) = 5 (12 * 5 + x * 5) + -2(x + -9) + -4(x + -3) = 5 (60 + 5x) + -2(x + -9) + -4(x + -3) = 5 Reorder the terms: 60 + 5x + -2(-9 + x) + -4(x + -3) = 5 60 + 5x + (-9 * -2 + x * -2) + -4(x + -3) = 5 60 + 5x + (18 + -2x) + -4(x + -3) = 5 Reorder the terms: 60 + 5x + 18 + -2x + -4(-3 + x) = 5 60 + 5x + 18 + -2x + (-3 * -4 + x * -4) = 5 60 + 5x + 18 + -2x + (12 + -4x) = 5 Reorder the terms: 60 + 18 + 12 + 5x + -2x + -4x = 5 Combine like terms: 60 + 18 = 78 78 + 12 + 5x + -2x + -4x = 5 Combine like terms: 78 + 12 = 90 90 + 5x + -2x + -4x = 5 Combine like terms: 5x + -2x = 3x 90 + 3x + -4x = 5 Combine like terms: 3x + -4x = -1x 90 + -1x = 5 Solving 90 + -1x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + -90 + -1x = 5 + -90 Combine like terms: 90 + -90 = 0 0 + -1x = 5 + -90 -1x = 5 + -90 Combine like terms: 5 + -90 = -85 -1x = -85 Divide each side by '-1'. x = 85 Simplifying x = 85
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