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