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Simplifying 5(x + -1) + 2 = 3(x + 1) + -7 Reorder the terms: 5(-1 + x) + 2 = 3(x + 1) + -7 (-1 * 5 + x * 5) + 2 = 3(x + 1) + -7 (-5 + 5x) + 2 = 3(x + 1) + -7 Reorder the terms: -5 + 2 + 5x = 3(x + 1) + -7 Combine like terms: -5 + 2 = -3 -3 + 5x = 3(x + 1) + -7 Reorder the terms: -3 + 5x = 3(1 + x) + -7 -3 + 5x = (1 * 3 + x * 3) + -7 -3 + 5x = (3 + 3x) + -7 Reorder the terms: -3 + 5x = 3 + -7 + 3x Combine like terms: 3 + -7 = -4 -3 + 5x = -4 + 3x Solving -3 + 5x = -4 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -3 + 5x + -3x = -4 + 3x + -3x Combine like terms: 5x + -3x = 2x -3 + 2x = -4 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + 2x = -4 + 0 -3 + 2x = -4 Add '3' to each side of the equation. -3 + 3 + 2x = -4 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = -4 + 3 2x = -4 + 3 Combine like terms: -4 + 3 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5
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