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