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Simplifying 3(x + 1) + -2(x + -1) = x + 5 Reorder the terms: 3(1 + x) + -2(x + -1) = x + 5 (1 * 3 + x * 3) + -2(x + -1) = x + 5 (3 + 3x) + -2(x + -1) = x + 5 Reorder the terms: 3 + 3x + -2(-1 + x) = x + 5 3 + 3x + (-1 * -2 + x * -2) = x + 5 3 + 3x + (2 + -2x) = x + 5 Reorder the terms: 3 + 2 + 3x + -2x = x + 5 Combine like terms: 3 + 2 = 5 5 + 3x + -2x = x + 5 Combine like terms: 3x + -2x = 1x 5 + 1x = x + 5 Reorder the terms: 5 + 1x = 5 + x Add '-5' to each side of the equation. 5 + -5 + 1x = 5 + -5 + x Combine like terms: 5 + -5 = 0 0 + 1x = 5 + -5 + x 1x = 5 + -5 + x Combine like terms: 5 + -5 = 0 1x = 0 + x 1x = x Solving 1x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 1x + -1x = x + -1x Combine like terms: 1x + -1x = 0 0 = x + -1x Combine like terms: x + -1x = 0 0 = 0 Simplifying 0 = 0 The solution to this equation could not be determined.
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