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Simplifying 2x + -2(x + -1) + 5 = 4 + -3(x + 1) Reorder the terms: 2x + -2(-1 + x) + 5 = 4 + -3(x + 1) 2x + (-1 * -2 + x * -2) + 5 = 4 + -3(x + 1) 2x + (2 + -2x) + 5 = 4 + -3(x + 1) Reorder the terms: 2 + 5 + 2x + -2x = 4 + -3(x + 1) Combine like terms: 2 + 5 = 7 7 + 2x + -2x = 4 + -3(x + 1) Combine like terms: 2x + -2x = 0 7 + 0 = 4 + -3(x + 1) 7 = 4 + -3(x + 1) Reorder the terms: 7 = 4 + -3(1 + x) 7 = 4 + (1 * -3 + x * -3) 7 = 4 + (-3 + -3x) Combine like terms: 4 + -3 = 1 7 = 1 + -3x Solving 7 = 1 + -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. 7 + 3x = 1 + -3x + 3x Combine like terms: -3x + 3x = 0 7 + 3x = 1 + 0 7 + 3x = 1 Add '-7' to each side of the equation. 7 + -7 + 3x = 1 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = 1 + -7 3x = 1 + -7 Combine like terms: 1 + -7 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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