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Simplifying 5(4 + 2x) + 1(8x + -12) = 68 (4 * 5 + 2x * 5) + 1(8x + -12) = 68 (20 + 10x) + 1(8x + -12) = 68 Reorder the terms: 20 + 10x + 1(-12 + 8x) = 68 20 + 10x + (-12 * 1 + 8x * 1) = 68 20 + 10x + (-12 + 8x) = 68 Reorder the terms: 20 + -12 + 10x + 8x = 68 Combine like terms: 20 + -12 = 8 8 + 10x + 8x = 68 Combine like terms: 10x + 8x = 18x 8 + 18x = 68 Solving 8 + 18x = 68 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 18x = 68 + -8 Combine like terms: 8 + -8 = 0 0 + 18x = 68 + -8 18x = 68 + -8 Combine like terms: 68 + -8 = 60 18x = 60 Divide each side by '18'. x = 3.333333333 Simplifying x = 3.333333333
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