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Simplifying -8(-3x + 4) = 8x + 32 Reorder the terms: -8(4 + -3x) = 8x + 32 (4 * -8 + -3x * -8) = 8x + 32 (-32 + 24x) = 8x + 32 Reorder the terms: -32 + 24x = 32 + 8x Solving -32 + 24x = 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. -32 + 24x + -8x = 32 + 8x + -8x Combine like terms: 24x + -8x = 16x -32 + 16x = 32 + 8x + -8x Combine like terms: 8x + -8x = 0 -32 + 16x = 32 + 0 -32 + 16x = 32 Add '32' to each side of the equation. -32 + 32 + 16x = 32 + 32 Combine like terms: -32 + 32 = 0 0 + 16x = 32 + 32 16x = 32 + 32 Combine like terms: 32 + 32 = 64 16x = 64 Divide each side by '16'. x = 4 Simplifying x = 4
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