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Simplifying -2(-3x + 5) + -7x = 5(x + -1) + -2 Reorder the terms: -2(5 + -3x) + -7x = 5(x + -1) + -2 (5 * -2 + -3x * -2) + -7x = 5(x + -1) + -2 (-10 + 6x) + -7x = 5(x + -1) + -2 Combine like terms: 6x + -7x = -1x -10 + -1x = 5(x + -1) + -2 Reorder the terms: -10 + -1x = 5(-1 + x) + -2 -10 + -1x = (-1 * 5 + x * 5) + -2 -10 + -1x = (-5 + 5x) + -2 Reorder the terms: -10 + -1x = -5 + -2 + 5x Combine like terms: -5 + -2 = -7 -10 + -1x = -7 + 5x Solving -10 + -1x = -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. -10 + -1x + -5x = -7 + 5x + -5x Combine like terms: -1x + -5x = -6x -10 + -6x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 -10 + -6x = -7 + 0 -10 + -6x = -7 Add '10' to each side of the equation. -10 + 10 + -6x = -7 + 10 Combine like terms: -10 + 10 = 0 0 + -6x = -7 + 10 -6x = -7 + 10 Combine like terms: -7 + 10 = 3 -6x = 3 Divide each side by '-6'. x = -0.5 Simplifying x = -0.5
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