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Simplifying 7 + -3x + 1 = 2(x + -1) Reorder the terms: 7 + 1 + -3x = 2(x + -1) Combine like terms: 7 + 1 = 8 8 + -3x = 2(x + -1) Reorder the terms: 8 + -3x = 2(-1 + x) 8 + -3x = (-1 * 2 + x * 2) 8 + -3x = (-2 + 2x) Solving 8 + -3x = -2 + 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. 8 + -3x + -2x = -2 + 2x + -2x Combine like terms: -3x + -2x = -5x 8 + -5x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + -5x = -2 + 0 8 + -5x = -2 Add '-8' to each side of the equation. 8 + -8 + -5x = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = -2 + -8 -5x = -2 + -8 Combine like terms: -2 + -8 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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