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Simplifying 8(x + 2) = 5(x + 4) Reorder the terms: 8(2 + x) = 5(x + 4) (2 * 8 + x * 8) = 5(x + 4) (16 + 8x) = 5(x + 4) Reorder the terms: 16 + 8x = 5(4 + x) 16 + 8x = (4 * 5 + x * 5) 16 + 8x = (20 + 5x) Solving 16 + 8x = 20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 16 + 8x + -5x = 20 + 5x + -5x Combine like terms: 8x + -5x = 3x 16 + 3x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 16 + 3x = 20 + 0 16 + 3x = 20 Add '-16' to each side of the equation. 16 + -16 + 3x = 20 + -16 Combine like terms: 16 + -16 = 0 0 + 3x = 20 + -16 3x = 20 + -16 Combine like terms: 20 + -16 = 4 3x = 4 Divide each side by '3'. x = 1.333333333 Simplifying x = 1.333333333
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