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Simplifying 5(5 + 2x) + -1(8x + -12) = 68 (5 * 5 + 2x * 5) + -1(8x + -12) = 68 (25 + 10x) + -1(8x + -12) = 68 Reorder the terms: 25 + 10x + -1(-12 + 8x) = 68 25 + 10x + (-12 * -1 + 8x * -1) = 68 25 + 10x + (12 + -8x) = 68 Reorder the terms: 25 + 12 + 10x + -8x = 68 Combine like terms: 25 + 12 = 37 37 + 10x + -8x = 68 Combine like terms: 10x + -8x = 2x 37 + 2x = 68 Solving 37 + 2x = 68 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + 2x = 68 + -37 Combine like terms: 37 + -37 = 0 0 + 2x = 68 + -37 2x = 68 + -37 Combine like terms: 68 + -37 = 31 2x = 31 Divide each side by '2'. x = 15.5 Simplifying x = 15.5
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