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Simplifying 8(x + 6) = 5(x + 15) Reorder the terms: 8(6 + x) = 5(x + 15) (6 * 8 + x * 8) = 5(x + 15) (48 + 8x) = 5(x + 15) Reorder the terms: 48 + 8x = 5(15 + x) 48 + 8x = (15 * 5 + x * 5) 48 + 8x = (75 + 5x) Solving 48 + 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. 48 + 8x + -5x = 75 + 5x + -5x Combine like terms: 8x + -5x = 3x 48 + 3x = 75 + 5x + -5x Combine like terms: 5x + -5x = 0 48 + 3x = 75 + 0 48 + 3x = 75 Add '-48' to each side of the equation. 48 + -48 + 3x = 75 + -48 Combine like terms: 48 + -48 = 0 0 + 3x = 75 + -48 3x = 75 + -48 Combine like terms: 75 + -48 = 27 3x = 27 Divide each side by '3'. x = 9 Simplifying x = 9
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