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Simplifying 2(5 + -1x) = -3(x + 1) (5 * 2 + -1x * 2) = -3(x + 1) (10 + -2x) = -3(x + 1) Reorder the terms: 10 + -2x = -3(1 + x) 10 + -2x = (1 * -3 + x * -3) 10 + -2x = (-3 + -3x) Solving 10 + -2x = -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. 10 + -2x + 3x = -3 + -3x + 3x Combine like terms: -2x + 3x = 1x 10 + 1x = -3 + -3x + 3x Combine like terms: -3x + 3x = 0 10 + 1x = -3 + 0 10 + 1x = -3 Add '-10' to each side of the equation. 10 + -10 + 1x = -3 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = -3 + -10 1x = -3 + -10 Combine like terms: -3 + -10 = -13 1x = -13 Divide each side by '1'. x = -13 Simplifying x = -13
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