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Simplifying -2(4x + -1) = 24 + -3(2x + 5) Reorder the terms: -2(-1 + 4x) = 24 + -3(2x + 5) (-1 * -2 + 4x * -2) = 24 + -3(2x + 5) (2 + -8x) = 24 + -3(2x + 5) Reorder the terms: 2 + -8x = 24 + -3(5 + 2x) 2 + -8x = 24 + (5 * -3 + 2x * -3) 2 + -8x = 24 + (-15 + -6x) Combine like terms: 24 + -15 = 9 2 + -8x = 9 + -6x Solving 2 + -8x = 9 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 2 + -8x + 6x = 9 + -6x + 6x Combine like terms: -8x + 6x = -2x 2 + -2x = 9 + -6x + 6x Combine like terms: -6x + 6x = 0 2 + -2x = 9 + 0 2 + -2x = 9 Add '-2' to each side of the equation. 2 + -2 + -2x = 9 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = 9 + -2 -2x = 9 + -2 Combine like terms: 9 + -2 = 7 -2x = 7 Divide each side by '-2'. x = -3.5 Simplifying x = -3.5
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