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Simplifying 4(x + 1) = 8(x + 2) Reorder the terms: 4(1 + x) = 8(x + 2) (1 * 4 + x * 4) = 8(x + 2) (4 + 4x) = 8(x + 2) Reorder the terms: 4 + 4x = 8(2 + x) 4 + 4x = (2 * 8 + x * 8) 4 + 4x = (16 + 8x) Solving 4 + 4x = 16 + 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. 4 + 4x + -8x = 16 + 8x + -8x Combine like terms: 4x + -8x = -4x 4 + -4x = 16 + 8x + -8x Combine like terms: 8x + -8x = 0 4 + -4x = 16 + 0 4 + -4x = 16 Add '-4' to each side of the equation. 4 + -4 + -4x = 16 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = 16 + -4 -4x = 16 + -4 Combine like terms: 16 + -4 = 12 -4x = 12 Divide each side by '-4'. x = -3 Simplifying x = -3
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