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Simplifying 5(x + 6) = 15x Reorder the terms: 5(6 + x) = 15x (6 * 5 + x * 5) = 15x (30 + 5x) = 15x Solving 30 + 5x = 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. 30 + 5x + -15x = 15x + -15x Combine like terms: 5x + -15x = -10x 30 + -10x = 15x + -15x Combine like terms: 15x + -15x = 0 30 + -10x = 0 Add '-30' to each side of the equation. 30 + -30 + -10x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -10x = 0 + -30 -10x = 0 + -30 Combine like terms: 0 + -30 = -30 -10x = -30 Divide each side by '-10'. x = 3 Simplifying x = 3
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