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Simplifying 24(2x + -1) = 8(x + 2) Reorder the terms: 24(-1 + 2x) = 8(x + 2) (-1 * 24 + 2x * 24) = 8(x + 2) (-24 + 48x) = 8(x + 2) Reorder the terms: -24 + 48x = 8(2 + x) -24 + 48x = (2 * 8 + x * 8) -24 + 48x = (16 + 8x) Solving -24 + 48x = 16 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -24 + 48x + -8x = 16 + 8x + -8x Combine like terms: 48x + -8x = 40x -24 + 40x = 16 + 8x + -8x Combine like terms: 8x + -8x = 0 -24 + 40x = 16 + 0 -24 + 40x = 16 Add '24' to each side of the equation. -24 + 24 + 40x = 16 + 24 Combine like terms: -24 + 24 = 0 0 + 40x = 16 + 24 40x = 16 + 24 Combine like terms: 16 + 24 = 40 40x = 40 Divide each side by '40'. x = 1 Simplifying x = 1
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