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Simplifying 24(2x + -1) = 8(x + 2) + 2 Reorder the terms: 24(-1 + 2x) = 8(x + 2) + 2 (-1 * 24 + 2x * 24) = 8(x + 2) + 2 (-24 + 48x) = 8(x + 2) + 2 Reorder the terms: -24 + 48x = 8(2 + x) + 2 -24 + 48x = (2 * 8 + x * 8) + 2 -24 + 48x = (16 + 8x) + 2 Reorder the terms: -24 + 48x = 16 + 2 + 8x Combine like terms: 16 + 2 = 18 -24 + 48x = 18 + 8x Solving -24 + 48x = 18 + 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 = 18 + 8x + -8x Combine like terms: 48x + -8x = 40x -24 + 40x = 18 + 8x + -8x Combine like terms: 8x + -8x = 0 -24 + 40x = 18 + 0 -24 + 40x = 18 Add '24' to each side of the equation. -24 + 24 + 40x = 18 + 24 Combine like terms: -24 + 24 = 0 0 + 40x = 18 + 24 40x = 18 + 24 Combine like terms: 18 + 24 = 42 40x = 42 Divide each side by '40'. x = 1.05 Simplifying x = 1.05
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