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Simplifying 3(2x + -1) + -4(x + -5) = 24 Reorder the terms: 3(-1 + 2x) + -4(x + -5) = 24 (-1 * 3 + 2x * 3) + -4(x + -5) = 24 (-3 + 6x) + -4(x + -5) = 24 Reorder the terms: -3 + 6x + -4(-5 + x) = 24 -3 + 6x + (-5 * -4 + x * -4) = 24 -3 + 6x + (20 + -4x) = 24 Reorder the terms: -3 + 20 + 6x + -4x = 24 Combine like terms: -3 + 20 = 17 17 + 6x + -4x = 24 Combine like terms: 6x + -4x = 2x 17 + 2x = 24 Solving 17 + 2x = 24 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 = 24 + -17 Combine like terms: 17 + -17 = 0 0 + 2x = 24 + -17 2x = 24 + -17 Combine like terms: 24 + -17 = 7 2x = 7 Divide each side by '2'. x = 3.5 Simplifying x = 3.5
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