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Simplifying 3(x + 2) + -8(x + -4) = -2 Reorder the terms: 3(2 + x) + -8(x + -4) = -2 (2 * 3 + x * 3) + -8(x + -4) = -2 (6 + 3x) + -8(x + -4) = -2 Reorder the terms: 6 + 3x + -8(-4 + x) = -2 6 + 3x + (-4 * -8 + x * -8) = -2 6 + 3x + (32 + -8x) = -2 Reorder the terms: 6 + 32 + 3x + -8x = -2 Combine like terms: 6 + 32 = 38 38 + 3x + -8x = -2 Combine like terms: 3x + -8x = -5x 38 + -5x = -2 Solving 38 + -5x = -2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + -5x = -2 + -38 Combine like terms: 38 + -38 = 0 0 + -5x = -2 + -38 -5x = -2 + -38 Combine like terms: -2 + -38 = -40 -5x = -40 Divide each side by '-5'. x = 8 Simplifying x = 8
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