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Simplifying -3(x + 4) + -2 = 2(x + 8) Reorder the terms: -3(4 + x) + -2 = 2(x + 8) (4 * -3 + x * -3) + -2 = 2(x + 8) (-12 + -3x) + -2 = 2(x + 8) Reorder the terms: -12 + -2 + -3x = 2(x + 8) Combine like terms: -12 + -2 = -14 -14 + -3x = 2(x + 8) Reorder the terms: -14 + -3x = 2(8 + x) -14 + -3x = (8 * 2 + x * 2) -14 + -3x = (16 + 2x) Solving -14 + -3x = 16 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -14 + -3x + -2x = 16 + 2x + -2x Combine like terms: -3x + -2x = -5x -14 + -5x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 -14 + -5x = 16 + 0 -14 + -5x = 16 Add '14' to each side of the equation. -14 + 14 + -5x = 16 + 14 Combine like terms: -14 + 14 = 0 0 + -5x = 16 + 14 -5x = 16 + 14 Combine like terms: 16 + 14 = 30 -5x = 30 Divide each side by '-5'. x = -6 Simplifying x = -6
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