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Simplifying 15(2x + 6) = 5(3x + 24) Reorder the terms: 15(6 + 2x) = 5(3x + 24) (6 * 15 + 2x * 15) = 5(3x + 24) (90 + 30x) = 5(3x + 24) Reorder the terms: 90 + 30x = 5(24 + 3x) 90 + 30x = (24 * 5 + 3x * 5) 90 + 30x = (120 + 15x) Solving 90 + 30x = 120 + 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. 90 + 30x + -15x = 120 + 15x + -15x Combine like terms: 30x + -15x = 15x 90 + 15x = 120 + 15x + -15x Combine like terms: 15x + -15x = 0 90 + 15x = 120 + 0 90 + 15x = 120 Add '-90' to each side of the equation. 90 + -90 + 15x = 120 + -90 Combine like terms: 90 + -90 = 0 0 + 15x = 120 + -90 15x = 120 + -90 Combine like terms: 120 + -90 = 30 15x = 30 Divide each side by '15'. x = 2 Simplifying x = 2
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