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Simplifying x + -7 + -2(x + -4) = -3(x + 2) + -8 Reorder the terms: x + -7 + -2(-4 + x) = -3(x + 2) + -8 x + -7 + (-4 * -2 + x * -2) = -3(x + 2) + -8 x + -7 + (8 + -2x) = -3(x + 2) + -8 Reorder the terms: -7 + 8 + x + -2x = -3(x + 2) + -8 Combine like terms: -7 + 8 = 1 1 + x + -2x = -3(x + 2) + -8 Combine like terms: x + -2x = -1x 1 + -1x = -3(x + 2) + -8 Reorder the terms: 1 + -1x = -3(2 + x) + -8 1 + -1x = (2 * -3 + x * -3) + -8 1 + -1x = (-6 + -3x) + -8 Reorder the terms: 1 + -1x = -6 + -8 + -3x Combine like terms: -6 + -8 = -14 1 + -1x = -14 + -3x Solving 1 + -1x = -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. 1 + -1x + 3x = -14 + -3x + 3x Combine like terms: -1x + 3x = 2x 1 + 2x = -14 + -3x + 3x Combine like terms: -3x + 3x = 0 1 + 2x = -14 + 0 1 + 2x = -14 Add '-1' to each side of the equation. 1 + -1 + 2x = -14 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = -14 + -1 2x = -14 + -1 Combine like terms: -14 + -1 = -15 2x = -15 Divide each side by '2'. x = -7.5 Simplifying x = -7.5
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