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Simplifying 3(2x + -5) + -4(x + -8) = 56 Reorder the terms: 3(-5 + 2x) + -4(x + -8) = 56 (-5 * 3 + 2x * 3) + -4(x + -8) = 56 (-15 + 6x) + -4(x + -8) = 56 Reorder the terms: -15 + 6x + -4(-8 + x) = 56 -15 + 6x + (-8 * -4 + x * -4) = 56 -15 + 6x + (32 + -4x) = 56 Reorder the terms: -15 + 32 + 6x + -4x = 56 Combine like terms: -15 + 32 = 17 17 + 6x + -4x = 56 Combine like terms: 6x + -4x = 2x 17 + 2x = 56 Solving 17 + 2x = 56 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 2x = 56 + -17 Combine like terms: 17 + -17 = 0 0 + 2x = 56 + -17 2x = 56 + -17 Combine like terms: 56 + -17 = 39 2x = 39 Divide each side by '2'. x = 19.5 Simplifying x = 19.5
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