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Simplifying 15(2x + 8) = 5(3x + 33) Reorder the terms: 15(8 + 2x) = 5(3x + 33) (8 * 15 + 2x * 15) = 5(3x + 33) (120 + 30x) = 5(3x + 33) Reorder the terms: 120 + 30x = 5(33 + 3x) 120 + 30x = (33 * 5 + 3x * 5) 120 + 30x = (165 + 15x) Solving 120 + 30x = 165 + 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. 120 + 30x + -15x = 165 + 15x + -15x Combine like terms: 30x + -15x = 15x 120 + 15x = 165 + 15x + -15x Combine like terms: 15x + -15x = 0 120 + 15x = 165 + 0 120 + 15x = 165 Add '-120' to each side of the equation. 120 + -120 + 15x = 165 + -120 Combine like terms: 120 + -120 = 0 0 + 15x = 165 + -120 15x = 165 + -120 Combine like terms: 165 + -120 = 45 15x = 45 Divide each side by '15'. x = 3 Simplifying x = 3
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