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Simplifying 4x + 8(x + 8) = 8(x + 7) Reorder the terms: 4x + 8(8 + x) = 8(x + 7) 4x + (8 * 8 + x * 8) = 8(x + 7) 4x + (64 + 8x) = 8(x + 7) Reorder the terms: 64 + 4x + 8x = 8(x + 7) Combine like terms: 4x + 8x = 12x 64 + 12x = 8(x + 7) Reorder the terms: 64 + 12x = 8(7 + x) 64 + 12x = (7 * 8 + x * 8) 64 + 12x = (56 + 8x) Solving 64 + 12x = 56 + 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. 64 + 12x + -8x = 56 + 8x + -8x Combine like terms: 12x + -8x = 4x 64 + 4x = 56 + 8x + -8x Combine like terms: 8x + -8x = 0 64 + 4x = 56 + 0 64 + 4x = 56 Add '-64' to each side of the equation. 64 + -64 + 4x = 56 + -64 Combine like terms: 64 + -64 = 0 0 + 4x = 56 + -64 4x = 56 + -64 Combine like terms: 56 + -64 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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