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Simplifying 4 + -3(x + 1) = 2(5 + -1x) Reorder the terms: 4 + -3(1 + x) = 2(5 + -1x) 4 + (1 * -3 + x * -3) = 2(5 + -1x) 4 + (-3 + -3x) = 2(5 + -1x) Combine like terms: 4 + -3 = 1 1 + -3x = 2(5 + -1x) 1 + -3x = (5 * 2 + -1x * 2) 1 + -3x = (10 + -2x) Solving 1 + -3x = 10 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 1 + -3x + 2x = 10 + -2x + 2x Combine like terms: -3x + 2x = -1x 1 + -1x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 1 + -1x = 10 + 0 1 + -1x = 10 Add '-1' to each side of the equation. 1 + -1 + -1x = 10 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 10 + -1 -1x = 10 + -1 Combine like terms: 10 + -1 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9
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