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Simplifying 8(x + 18) = 5(x + 78) Reorder the terms: 8(18 + x) = 5(x + 78) (18 * 8 + x * 8) = 5(x + 78) (144 + 8x) = 5(x + 78) Reorder the terms: 144 + 8x = 5(78 + x) 144 + 8x = (78 * 5 + x * 5) 144 + 8x = (390 + 5x) Solving 144 + 8x = 390 + 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. 144 + 8x + -5x = 390 + 5x + -5x Combine like terms: 8x + -5x = 3x 144 + 3x = 390 + 5x + -5x Combine like terms: 5x + -5x = 0 144 + 3x = 390 + 0 144 + 3x = 390 Add '-144' to each side of the equation. 144 + -144 + 3x = 390 + -144 Combine like terms: 144 + -144 = 0 0 + 3x = 390 + -144 3x = 390 + -144 Combine like terms: 390 + -144 = 246 3x = 246 Divide each side by '3'. x = 82 Simplifying x = 82
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