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Simplifying -7(x + 4) + 32 = 9 + -8x Reorder the terms: -7(4 + x) + 32 = 9 + -8x (4 * -7 + x * -7) + 32 = 9 + -8x (-28 + -7x) + 32 = 9 + -8x Reorder the terms: -28 + 32 + -7x = 9 + -8x Combine like terms: -28 + 32 = 4 4 + -7x = 9 + -8x Solving 4 + -7x = 9 + -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. 4 + -7x + 8x = 9 + -8x + 8x Combine like terms: -7x + 8x = 1x 4 + 1x = 9 + -8x + 8x Combine like terms: -8x + 8x = 0 4 + 1x = 9 + 0 4 + 1x = 9 Add '-4' to each side of the equation. 4 + -4 + 1x = 9 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 9 + -4 1x = 9 + -4 Combine like terms: 9 + -4 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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