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Simplifying 3(5 + -1x) + -2(5 + -1x) = 3(x + -1) (5 * 3 + -1x * 3) + -2(5 + -1x) = 3(x + -1) (15 + -3x) + -2(5 + -1x) = 3(x + -1) 15 + -3x + (5 * -2 + -1x * -2) = 3(x + -1) 15 + -3x + (-10 + 2x) = 3(x + -1) Reorder the terms: 15 + -10 + -3x + 2x = 3(x + -1) Combine like terms: 15 + -10 = 5 5 + -3x + 2x = 3(x + -1) Combine like terms: -3x + 2x = -1x 5 + -1x = 3(x + -1) Reorder the terms: 5 + -1x = 3(-1 + x) 5 + -1x = (-1 * 3 + x * 3) 5 + -1x = (-3 + 3x) Solving 5 + -1x = -3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 5 + -1x + -3x = -3 + 3x + -3x Combine like terms: -1x + -3x = -4x 5 + -4x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + -4x = -3 + 0 5 + -4x = -3 Add '-5' to each side of the equation. 5 + -5 + -4x = -3 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = -3 + -5 -4x = -3 + -5 Combine like terms: -3 + -5 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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