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Simplifying -24(x + -21) = -40(x + -23) Reorder the terms: -24(-21 + x) = -40(x + -23) (-21 * -24 + x * -24) = -40(x + -23) (504 + -24x) = -40(x + -23) Reorder the terms: 504 + -24x = -40(-23 + x) 504 + -24x = (-23 * -40 + x * -40) 504 + -24x = (920 + -40x) Solving 504 + -24x = 920 + -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. 504 + -24x + 40x = 920 + -40x + 40x Combine like terms: -24x + 40x = 16x 504 + 16x = 920 + -40x + 40x Combine like terms: -40x + 40x = 0 504 + 16x = 920 + 0 504 + 16x = 920 Add '-504' to each side of the equation. 504 + -504 + 16x = 920 + -504 Combine like terms: 504 + -504 = 0 0 + 16x = 920 + -504 16x = 920 + -504 Combine like terms: 920 + -504 = 416 16x = 416 Divide each side by '16'. x = 26 Simplifying x = 26
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