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Simplifying 5(4 + 2x) + -1(8x + -12) = 12 (4 * 5 + 2x * 5) + -1(8x + -12) = 12 (20 + 10x) + -1(8x + -12) = 12 Reorder the terms: 20 + 10x + -1(-12 + 8x) = 12 20 + 10x + (-12 * -1 + 8x * -1) = 12 20 + 10x + (12 + -8x) = 12 Reorder the terms: 20 + 12 + 10x + -8x = 12 Combine like terms: 20 + 12 = 32 32 + 10x + -8x = 12 Combine like terms: 10x + -8x = 2x 32 + 2x = 12 Solving 32 + 2x = 12 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 + 2x = 12 + -32 Combine like terms: 32 + -32 = 0 0 + 2x = 12 + -32 2x = 12 + -32 Combine like terms: 12 + -32 = -20 2x = -20 Divide each side by '2'. x = -10 Simplifying x = -10
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