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Simplifying 3(x + -1) = 8(x + -1) + -24 Reorder the terms: 3(-1 + x) = 8(x + -1) + -24 (-1 * 3 + x * 3) = 8(x + -1) + -24 (-3 + 3x) = 8(x + -1) + -24 Reorder the terms: -3 + 3x = 8(-1 + x) + -24 -3 + 3x = (-1 * 8 + x * 8) + -24 -3 + 3x = (-8 + 8x) + -24 Reorder the terms: -3 + 3x = -8 + -24 + 8x Combine like terms: -8 + -24 = -32 -3 + 3x = -32 + 8x Solving -3 + 3x = -32 + 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. -3 + 3x + -8x = -32 + 8x + -8x Combine like terms: 3x + -8x = -5x -3 + -5x = -32 + 8x + -8x Combine like terms: 8x + -8x = 0 -3 + -5x = -32 + 0 -3 + -5x = -32 Add '3' to each side of the equation. -3 + 3 + -5x = -32 + 3 Combine like terms: -3 + 3 = 0 0 + -5x = -32 + 3 -5x = -32 + 3 Combine like terms: -32 + 3 = -29 -5x = -29 Divide each side by '-5'. x = 5.8 Simplifying x = 5.8
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