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Simplifying 2(x + 1) + -5 = 4 + -1(x + -2) Reorder the terms: 2(1 + x) + -5 = 4 + -1(x + -2) (1 * 2 + x * 2) + -5 = 4 + -1(x + -2) (2 + 2x) + -5 = 4 + -1(x + -2) Reorder the terms: 2 + -5 + 2x = 4 + -1(x + -2) Combine like terms: 2 + -5 = -3 -3 + 2x = 4 + -1(x + -2) Reorder the terms: -3 + 2x = 4 + -1(-2 + x) -3 + 2x = 4 + (-2 * -1 + x * -1) -3 + 2x = 4 + (2 + -1x) Combine like terms: 4 + 2 = 6 -3 + 2x = 6 + -1x Solving -3 + 2x = 6 + -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. -3 + 2x + x = 6 + -1x + x Combine like terms: 2x + x = 3x -3 + 3x = 6 + -1x + x Combine like terms: -1x + x = 0 -3 + 3x = 6 + 0 -3 + 3x = 6 Add '3' to each side of the equation. -3 + 3 + 3x = 6 + 3 Combine like terms: -3 + 3 = 0 0 + 3x = 6 + 3 3x = 6 + 3 Combine like terms: 6 + 3 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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