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Simplifying 2(15x + 4) = 36 + 9(5x + 6) Reorder the terms: 2(4 + 15x) = 36 + 9(5x + 6) (4 * 2 + 15x * 2) = 36 + 9(5x + 6) (8 + 30x) = 36 + 9(5x + 6) Reorder the terms: 8 + 30x = 36 + 9(6 + 5x) 8 + 30x = 36 + (6 * 9 + 5x * 9) 8 + 30x = 36 + (54 + 45x) Combine like terms: 36 + 54 = 90 8 + 30x = 90 + 45x Solving 8 + 30x = 90 + 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. 8 + 30x + -45x = 90 + 45x + -45x Combine like terms: 30x + -45x = -15x 8 + -15x = 90 + 45x + -45x Combine like terms: 45x + -45x = 0 8 + -15x = 90 + 0 8 + -15x = 90 Add '-8' to each side of the equation. 8 + -8 + -15x = 90 + -8 Combine like terms: 8 + -8 = 0 0 + -15x = 90 + -8 -15x = 90 + -8 Combine like terms: 90 + -8 = 82 -15x = 82 Divide each side by '-15'. x = -5.466666667 Simplifying x = -5.466666667
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