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Simplifying 3(2x + -3) + -4(x + -2) = 24 Reorder the terms: 3(-3 + 2x) + -4(x + -2) = 24 (-3 * 3 + 2x * 3) + -4(x + -2) = 24 (-9 + 6x) + -4(x + -2) = 24 Reorder the terms: -9 + 6x + -4(-2 + x) = 24 -9 + 6x + (-2 * -4 + x * -4) = 24 -9 + 6x + (8 + -4x) = 24 Reorder the terms: -9 + 8 + 6x + -4x = 24 Combine like terms: -9 + 8 = -1 -1 + 6x + -4x = 24 Combine like terms: 6x + -4x = 2x -1 + 2x = 24 Solving -1 + 2x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2x = 24 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 24 + 1 2x = 24 + 1 Combine like terms: 24 + 1 = 25 2x = 25 Divide each side by '2'. x = 12.5 Simplifying x = 12.5
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