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Simplifying 2(2x + 5) + -3(x + -8) = 20 Reorder the terms: 2(5 + 2x) + -3(x + -8) = 20 (5 * 2 + 2x * 2) + -3(x + -8) = 20 (10 + 4x) + -3(x + -8) = 20 Reorder the terms: 10 + 4x + -3(-8 + x) = 20 10 + 4x + (-8 * -3 + x * -3) = 20 10 + 4x + (24 + -3x) = 20 Reorder the terms: 10 + 24 + 4x + -3x = 20 Combine like terms: 10 + 24 = 34 34 + 4x + -3x = 20 Combine like terms: 4x + -3x = 1x 34 + 1x = 20 Solving 34 + 1x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 1x = 20 + -34 Combine like terms: 34 + -34 = 0 0 + 1x = 20 + -34 1x = 20 + -34 Combine like terms: 20 + -34 = -14 1x = -14 Divide each side by '1'. x = -14 Simplifying x = -14
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