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Simplifying 2 + 3(x + 1) = 5 + -1(x + -2) Reorder the terms: 2 + 3(1 + x) = 5 + -1(x + -2) 2 + (1 * 3 + x * 3) = 5 + -1(x + -2) 2 + (3 + 3x) = 5 + -1(x + -2) Combine like terms: 2 + 3 = 5 5 + 3x = 5 + -1(x + -2) Reorder the terms: 5 + 3x = 5 + -1(-2 + x) 5 + 3x = 5 + (-2 * -1 + x * -1) 5 + 3x = 5 + (2 + -1x) Combine like terms: 5 + 2 = 7 5 + 3x = 7 + -1x Solving 5 + 3x = 7 + -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. 5 + 3x + x = 7 + -1x + x Combine like terms: 3x + x = 4x 5 + 4x = 7 + -1x + x Combine like terms: -1x + x = 0 5 + 4x = 7 + 0 5 + 4x = 7 Add '-5' to each side of the equation. 5 + -5 + 4x = 7 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 7 + -5 4x = 7 + -5 Combine like terms: 7 + -5 = 2 4x = 2 Divide each side by '4'. x = 0.5 Simplifying x = 0.5
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