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Simplifying 2x + -1(5x + 2) = 12 + 5(x + -1) Reorder the terms: 2x + -1(2 + 5x) = 12 + 5(x + -1) 2x + (2 * -1 + 5x * -1) = 12 + 5(x + -1) 2x + (-2 + -5x) = 12 + 5(x + -1) Reorder the terms: -2 + 2x + -5x = 12 + 5(x + -1) Combine like terms: 2x + -5x = -3x -2 + -3x = 12 + 5(x + -1) Reorder the terms: -2 + -3x = 12 + 5(-1 + x) -2 + -3x = 12 + (-1 * 5 + x * 5) -2 + -3x = 12 + (-5 + 5x) Combine like terms: 12 + -5 = 7 -2 + -3x = 7 + 5x Solving -2 + -3x = 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. -2 + -3x + -5x = 7 + 5x + -5x Combine like terms: -3x + -5x = -8x -2 + -8x = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + -8x = 7 + 0 -2 + -8x = 7 Add '2' to each side of the equation. -2 + 2 + -8x = 7 + 2 Combine like terms: -2 + 2 = 0 0 + -8x = 7 + 2 -8x = 7 + 2 Combine like terms: 7 + 2 = 9 -8x = 9 Divide each side by '-8'. x = -1.125 Simplifying x = -1.125
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