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Simplifying -2(x + -5) + 3x = -1(x + 2) + -7 Reorder the terms: -2(-5 + x) + 3x = -1(x + 2) + -7 (-5 * -2 + x * -2) + 3x = -1(x + 2) + -7 (10 + -2x) + 3x = -1(x + 2) + -7 Combine like terms: -2x + 3x = 1x 10 + 1x = -1(x + 2) + -7 Reorder the terms: 10 + 1x = -1(2 + x) + -7 10 + 1x = (2 * -1 + x * -1) + -7 10 + 1x = (-2 + -1x) + -7 Reorder the terms: 10 + 1x = -2 + -7 + -1x Combine like terms: -2 + -7 = -9 10 + 1x = -9 + -1x Solving 10 + 1x = -9 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 10 + 1x + x = -9 + -1x + x Combine like terms: 1x + x = 2x 10 + 2x = -9 + -1x + x Combine like terms: -1x + x = 0 10 + 2x = -9 + 0 10 + 2x = -9 Add '-10' to each side of the equation. 10 + -10 + 2x = -9 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = -9 + -10 2x = -9 + -10 Combine like terms: -9 + -10 = -19 2x = -19 Divide each side by '2'. x = -9.5 Simplifying x = -9.5
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