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