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Simplifying 2x + -1(2x + 1) = 12 + 5(x + -1) Reorder the terms: 2x + -1(1 + 2x) = 12 + 5(x + -1) 2x + (1 * -1 + 2x * -1) = 12 + 5(x + -1) 2x + (-1 + -2x) = 12 + 5(x + -1) Reorder the terms: -1 + 2x + -2x = 12 + 5(x + -1) Combine like terms: 2x + -2x = 0 -1 + 0 = 12 + 5(x + -1) -1 = 12 + 5(x + -1) Reorder the terms: -1 = 12 + 5(-1 + x) -1 = 12 + (-1 * 5 + x * 5) -1 = 12 + (-5 + 5x) Combine like terms: 12 + -5 = 7 -1 = 7 + 5x Solving -1 = 7 + 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 + -5x = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 -1 + -5x = 7 + 0 -1 + -5x = 7 Add '1' to each side of the equation. -1 + 1 + -5x = 7 + 1 Combine like terms: -1 + 1 = 0 0 + -5x = 7 + 1 -5x = 7 + 1 Combine like terms: 7 + 1 = 8 -5x = 8 Divide each side by '-5'. x = -1.6 Simplifying x = -1.6
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