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Simplifying 3(x + 8) + -2(x + -4) = 0 Reorder the terms: 3(8 + x) + -2(x + -4) = 0 (8 * 3 + x * 3) + -2(x + -4) = 0 (24 + 3x) + -2(x + -4) = 0 Reorder the terms: 24 + 3x + -2(-4 + x) = 0 24 + 3x + (-4 * -2 + x * -2) = 0 24 + 3x + (8 + -2x) = 0 Reorder the terms: 24 + 8 + 3x + -2x = 0 Combine like terms: 24 + 8 = 32 32 + 3x + -2x = 0 Combine like terms: 3x + -2x = 1x 32 + 1x = 0 Solving 32 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 1x = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 1x = 0 + -32 1x = 0 + -32 Combine like terms: 0 + -32 = -32 1x = -32 Divide each side by '1'. x = -32 Simplifying x = -32
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