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Simplifying -2x + 8(x + -4) = 5x + -24 Reorder the terms: -2x + 8(-4 + x) = 5x + -24 -2x + (-4 * 8 + x * 8) = 5x + -24 -2x + (-32 + 8x) = 5x + -24 Reorder the terms: -32 + -2x + 8x = 5x + -24 Combine like terms: -2x + 8x = 6x -32 + 6x = 5x + -24 Reorder the terms: -32 + 6x = -24 + 5x Solving -32 + 6x = -24 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -32 + 6x + -5x = -24 + 5x + -5x Combine like terms: 6x + -5x = 1x -32 + 1x = -24 + 5x + -5x Combine like terms: 5x + -5x = 0 -32 + 1x = -24 + 0 -32 + 1x = -24 Add '32' to each side of the equation. -32 + 32 + 1x = -24 + 32 Combine like terms: -32 + 32 = 0 0 + 1x = -24 + 32 1x = -24 + 32 Combine like terms: -24 + 32 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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