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Simplifying 5(4 + 2x) + -8(x + -12) = 68 (4 * 5 + 2x * 5) + -8(x + -12) = 68 (20 + 10x) + -8(x + -12) = 68 Reorder the terms: 20 + 10x + -8(-12 + x) = 68 20 + 10x + (-12 * -8 + x * -8) = 68 20 + 10x + (96 + -8x) = 68 Reorder the terms: 20 + 96 + 10x + -8x = 68 Combine like terms: 20 + 96 = 116 116 + 10x + -8x = 68 Combine like terms: 10x + -8x = 2x 116 + 2x = 68 Solving 116 + 2x = 68 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-116' to each side of the equation. 116 + -116 + 2x = 68 + -116 Combine like terms: 116 + -116 = 0 0 + 2x = 68 + -116 2x = 68 + -116 Combine like terms: 68 + -116 = -48 2x = -48 Divide each side by '2'. x = -24 Simplifying x = -24
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