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Simplifying 8(4 + x) = 7(1 + x) (4 * 8 + x * 8) = 7(1 + x) (32 + 8x) = 7(1 + x) 32 + 8x = (1 * 7 + x * 7) 32 + 8x = (7 + 7x) Solving 32 + 8x = 7 + 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 = 7 + 7x + -7x Combine like terms: 8x + -7x = 1x 32 + 1x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 32 + 1x = 7 + 0 32 + 1x = 7 Add '-32' to each side of the equation. 32 + -32 + 1x = 7 + -32 Combine like terms: 32 + -32 = 0 0 + 1x = 7 + -32 1x = 7 + -32 Combine like terms: 7 + -32 = -25 1x = -25 Divide each side by '1'. x = -25 Simplifying x = -25
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