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