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Simplifying 2(3x + -7) = -1(5 + -2x) + 3x Reorder the terms: 2(-7 + 3x) = -1(5 + -2x) + 3x (-7 * 2 + 3x * 2) = -1(5 + -2x) + 3x (-14 + 6x) = -1(5 + -2x) + 3x -14 + 6x = (5 * -1 + -2x * -1) + 3x -14 + 6x = (-5 + 2x) + 3x Combine like terms: 2x + 3x = 5x -14 + 6x = -5 + 5x Solving -14 + 6x = -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. -14 + 6x + -5x = -5 + 5x + -5x Combine like terms: 6x + -5x = 1x -14 + 1x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 -14 + 1x = -5 + 0 -14 + 1x = -5 Add '14' to each side of the equation. -14 + 14 + 1x = -5 + 14 Combine like terms: -14 + 14 = 0 0 + 1x = -5 + 14 1x = -5 + 14 Combine like terms: -5 + 14 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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