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