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Simplifying (2x + -5) * 2 + -1(x + -6) * 2 = 80 Reorder the terms: (-5 + 2x) * 2 + -1(x + -6) * 2 = 80 Reorder the terms for easier multiplication: 2(-5 + 2x) + -1(x + -6) * 2 = 80 (-5 * 2 + 2x * 2) + -1(x + -6) * 2 = 80 (-10 + 4x) + -1(x + -6) * 2 = 80 Reorder the terms: -10 + 4x + -1(-6 + x) * 2 = 80 Reorder the terms for easier multiplication: -10 + 4x + -1 * 2(-6 + x) = 80 Multiply -1 * 2 -10 + 4x + -2(-6 + x) = 80 -10 + 4x + (-6 * -2 + x * -2) = 80 -10 + 4x + (12 + -2x) = 80 Reorder the terms: -10 + 12 + 4x + -2x = 80 Combine like terms: -10 + 12 = 2 2 + 4x + -2x = 80 Combine like terms: 4x + -2x = 2x 2 + 2x = 80 Solving 2 + 2x = 80 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 2x = 80 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 80 + -2 2x = 80 + -2 Combine like terms: 80 + -2 = 78 2x = 78 Divide each side by '2'. x = 39 Simplifying x = 39
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