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Simplifying 2(9x + 8) = 5(3x + 5) Reorder the terms: 2(8 + 9x) = 5(3x + 5) (8 * 2 + 9x * 2) = 5(3x + 5) (16 + 18x) = 5(3x + 5) Reorder the terms: 16 + 18x = 5(5 + 3x) 16 + 18x = (5 * 5 + 3x * 5) 16 + 18x = (25 + 15x) Solving 16 + 18x = 25 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 16 + 18x + -15x = 25 + 15x + -15x Combine like terms: 18x + -15x = 3x 16 + 3x = 25 + 15x + -15x Combine like terms: 15x + -15x = 0 16 + 3x = 25 + 0 16 + 3x = 25 Add '-16' to each side of the equation. 16 + -16 + 3x = 25 + -16 Combine like terms: 16 + -16 = 0 0 + 3x = 25 + -16 3x = 25 + -16 Combine like terms: 25 + -16 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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