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Simplifying 8(x + 1) = 4(x + 5) Reorder the terms: 8(1 + x) = 4(x + 5) (1 * 8 + x * 8) = 4(x + 5) (8 + 8x) = 4(x + 5) Reorder the terms: 8 + 8x = 4(5 + x) 8 + 8x = (5 * 4 + x * 4) 8 + 8x = (20 + 4x) Solving 8 + 8x = 20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 8 + 8x + -4x = 20 + 4x + -4x Combine like terms: 8x + -4x = 4x 8 + 4x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + 4x = 20 + 0 8 + 4x = 20 Add '-8' to each side of the equation. 8 + -8 + 4x = 20 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = 20 + -8 4x = 20 + -8 Combine like terms: 20 + -8 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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