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Simplifying 24(x + -1) = 8(x + 2) + 2x Reorder the terms: 24(-1 + x) = 8(x + 2) + 2x (-1 * 24 + x * 24) = 8(x + 2) + 2x (-24 + 24x) = 8(x + 2) + 2x Reorder the terms: -24 + 24x = 8(2 + x) + 2x -24 + 24x = (2 * 8 + x * 8) + 2x -24 + 24x = (16 + 8x) + 2x Combine like terms: 8x + 2x = 10x -24 + 24x = 16 + 10x Solving -24 + 24x = 16 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -24 + 24x + -10x = 16 + 10x + -10x Combine like terms: 24x + -10x = 14x -24 + 14x = 16 + 10x + -10x Combine like terms: 10x + -10x = 0 -24 + 14x = 16 + 0 -24 + 14x = 16 Add '24' to each side of the equation. -24 + 24 + 14x = 16 + 24 Combine like terms: -24 + 24 = 0 0 + 14x = 16 + 24 14x = 16 + 24 Combine like terms: 16 + 24 = 40 14x = 40 Divide each side by '14'. x = 2.857142857 Simplifying x = 2.857142857
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