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Simplifying -32 + -8x = 2x + 6(1 + -8x) -32 + -8x = 2x + (1 * 6 + -8x * 6) -32 + -8x = 2x + (6 + -48x) Reorder the terms: -32 + -8x = 6 + 2x + -48x Combine like terms: 2x + -48x = -46x -32 + -8x = 6 + -46x Solving -32 + -8x = 6 + -46x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '46x' to each side of the equation. -32 + -8x + 46x = 6 + -46x + 46x Combine like terms: -8x + 46x = 38x -32 + 38x = 6 + -46x + 46x Combine like terms: -46x + 46x = 0 -32 + 38x = 6 + 0 -32 + 38x = 6 Add '32' to each side of the equation. -32 + 32 + 38x = 6 + 32 Combine like terms: -32 + 32 = 0 0 + 38x = 6 + 32 38x = 6 + 32 Combine like terms: 6 + 32 = 38 38x = 38 Divide each side by '38'. x = 1 Simplifying x = 1
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