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Simplifying x + -32 = (x + 8)(-7) Reorder the terms: -32 + x = (x + 8)(-7) Reorder the terms: -32 + x = (8 + x)(-7) Reorder the terms for easier multiplication: -32 + x = -7(8 + x) -32 + x = (8 * -7 + x * -7) -32 + x = (-56 + -7x) Solving -32 + x = -56 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -32 + x + 7x = -56 + -7x + 7x Combine like terms: x + 7x = 8x -32 + 8x = -56 + -7x + 7x Combine like terms: -7x + 7x = 0 -32 + 8x = -56 + 0 -32 + 8x = -56 Add '32' to each side of the equation. -32 + 32 + 8x = -56 + 32 Combine like terms: -32 + 32 = 0 0 + 8x = -56 + 32 8x = -56 + 32 Combine like terms: -56 + 32 = -24 8x = -24 Divide each side by '8'. x = -3 Simplifying x = -3
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