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Simplifying 4(2x + 6) = 5(x + 15) Reorder the terms: 4(6 + 2x) = 5(x + 15) (6 * 4 + 2x * 4) = 5(x + 15) (24 + 8x) = 5(x + 15) Reorder the terms: 24 + 8x = 5(15 + x) 24 + 8x = (15 * 5 + x * 5) 24 + 8x = (75 + 5x) Solving 24 + 8x = 75 + 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. 24 + 8x + -5x = 75 + 5x + -5x Combine like terms: 8x + -5x = 3x 24 + 3x = 75 + 5x + -5x Combine like terms: 5x + -5x = 0 24 + 3x = 75 + 0 24 + 3x = 75 Add '-24' to each side of the equation. 24 + -24 + 3x = 75 + -24 Combine like terms: 24 + -24 = 0 0 + 3x = 75 + -24 3x = 75 + -24 Combine like terms: 75 + -24 = 51 3x = 51 Divide each side by '3'. x = 17 Simplifying x = 17
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