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Simplifying 15(2 + -7x) + -40(x + 14) = 24(x + -8) (2 * 15 + -7x * 15) + -40(x + 14) = 24(x + -8) (30 + -105x) + -40(x + 14) = 24(x + -8) Reorder the terms: 30 + -105x + -40(14 + x) = 24(x + -8) 30 + -105x + (14 * -40 + x * -40) = 24(x + -8) 30 + -105x + (-560 + -40x) = 24(x + -8) Reorder the terms: 30 + -560 + -105x + -40x = 24(x + -8) Combine like terms: 30 + -560 = -530 -530 + -105x + -40x = 24(x + -8) Combine like terms: -105x + -40x = -145x -530 + -145x = 24(x + -8) Reorder the terms: -530 + -145x = 24(-8 + x) -530 + -145x = (-8 * 24 + x * 24) -530 + -145x = (-192 + 24x) Solving -530 + -145x = -192 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -530 + -145x + -24x = -192 + 24x + -24x Combine like terms: -145x + -24x = -169x -530 + -169x = -192 + 24x + -24x Combine like terms: 24x + -24x = 0 -530 + -169x = -192 + 0 -530 + -169x = -192 Add '530' to each side of the equation. -530 + 530 + -169x = -192 + 530 Combine like terms: -530 + 530 = 0 0 + -169x = -192 + 530 -169x = -192 + 530 Combine like terms: -192 + 530 = 338 -169x = 338 Divide each side by '-169'. x = -2 Simplifying x = -2
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