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Simplifying 3x + -1(x + 5) = 5x + -2(x + 7) Reorder the terms: 3x + -1(5 + x) = 5x + -2(x + 7) 3x + (5 * -1 + x * -1) = 5x + -2(x + 7) 3x + (-5 + -1x) = 5x + -2(x + 7) Reorder the terms: -5 + 3x + -1x = 5x + -2(x + 7) Combine like terms: 3x + -1x = 2x -5 + 2x = 5x + -2(x + 7) Reorder the terms: -5 + 2x = 5x + -2(7 + x) -5 + 2x = 5x + (7 * -2 + x * -2) -5 + 2x = 5x + (-14 + -2x) Reorder the terms: -5 + 2x = -14 + 5x + -2x Combine like terms: 5x + -2x = 3x -5 + 2x = -14 + 3x Solving -5 + 2x = -14 + 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. -5 + 2x + -3x = -14 + 3x + -3x Combine like terms: 2x + -3x = -1x -5 + -1x = -14 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + -1x = -14 + 0 -5 + -1x = -14 Add '5' to each side of the equation. -5 + 5 + -1x = -14 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = -14 + 5 -1x = -14 + 5 Combine like terms: -14 + 5 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9
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