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Simplifying 2x + 1 = 5(x + -1) Reorder the terms: 1 + 2x = 5(x + -1) Reorder the terms: 1 + 2x = 5(-1 + x) 1 + 2x = (-1 * 5 + x * 5) 1 + 2x = (-5 + 5x) Solving 1 + 2x = -5 + 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. 1 + 2x + -5x = -5 + 5x + -5x Combine like terms: 2x + -5x = -3x 1 + -3x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + -3x = -5 + 0 1 + -3x = -5 Add '-1' to each side of the equation. 1 + -1 + -3x = -5 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = -5 + -1 -3x = -5 + -1 Combine like terms: -5 + -1 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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