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Simplifying 5(4 + 2x) + -1(8x + -13) = 68 (4 * 5 + 2x * 5) + -1(8x + -13) = 68 (20 + 10x) + -1(8x + -13) = 68 Reorder the terms: 20 + 10x + -1(-13 + 8x) = 68 20 + 10x + (-13 * -1 + 8x * -1) = 68 20 + 10x + (13 + -8x) = 68 Reorder the terms: 20 + 13 + 10x + -8x = 68 Combine like terms: 20 + 13 = 33 33 + 10x + -8x = 68 Combine like terms: 10x + -8x = 2x 33 + 2x = 68 Solving 33 + 2x = 68 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + 2x = 68 + -33 Combine like terms: 33 + -33 = 0 0 + 2x = 68 + -33 2x = 68 + -33 Combine like terms: 68 + -33 = 35 2x = 35 Divide each side by '2'. x = 17.5 Simplifying x = 17.5
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