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Simplifying 40(x + -4) = 24(x + 4) Reorder the terms: 40(-4 + x) = 24(x + 4) (-4 * 40 + x * 40) = 24(x + 4) (-160 + 40x) = 24(x + 4) Reorder the terms: -160 + 40x = 24(4 + x) -160 + 40x = (4 * 24 + x * 24) -160 + 40x = (96 + 24x) Solving -160 + 40x = 96 + 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. -160 + 40x + -24x = 96 + 24x + -24x Combine like terms: 40x + -24x = 16x -160 + 16x = 96 + 24x + -24x Combine like terms: 24x + -24x = 0 -160 + 16x = 96 + 0 -160 + 16x = 96 Add '160' to each side of the equation. -160 + 160 + 16x = 96 + 160 Combine like terms: -160 + 160 = 0 0 + 16x = 96 + 160 16x = 96 + 160 Combine like terms: 96 + 160 = 256 16x = 256 Divide each side by '16'. x = 16 Simplifying x = 16
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