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Simplifying -7x + 32 = -6x + 8(4 + -5x) Reorder the terms: 32 + -7x = -6x + 8(4 + -5x) 32 + -7x = -6x + (4 * 8 + -5x * 8) 32 + -7x = -6x + (32 + -40x) Reorder the terms: 32 + -7x = 32 + -6x + -40x Combine like terms: -6x + -40x = -46x 32 + -7x = 32 + -46x Add '-32' to each side of the equation. 32 + -32 + -7x = 32 + -32 + -46x Combine like terms: 32 + -32 = 0 0 + -7x = 32 + -32 + -46x -7x = 32 + -32 + -46x Combine like terms: 32 + -32 = 0 -7x = 0 + -46x -7x = -46x Solving -7x = -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. -7x + 46x = -46x + 46x Combine like terms: -7x + 46x = 39x 39x = -46x + 46x Combine like terms: -46x + 46x = 0 39x = 0 Divide each side by '39'. x = 0 Simplifying x = 0
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