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Simplifying 5(x + 6) = 15(x + -6) Reorder the terms: 5(6 + x) = 15(x + -6) (6 * 5 + x * 5) = 15(x + -6) (30 + 5x) = 15(x + -6) Reorder the terms: 30 + 5x = 15(-6 + x) 30 + 5x = (-6 * 15 + x * 15) 30 + 5x = (-90 + 15x) Solving 30 + 5x = -90 + 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 = -90 + 15x + -15x Combine like terms: 5x + -15x = -10x 30 + -10x = -90 + 15x + -15x Combine like terms: 15x + -15x = 0 30 + -10x = -90 + 0 30 + -10x = -90 Add '-30' to each side of the equation. 30 + -30 + -10x = -90 + -30 Combine like terms: 30 + -30 = 0 0 + -10x = -90 + -30 -10x = -90 + -30 Combine like terms: -90 + -30 = -120 -10x = -120 Divide each side by '-10'. x = 12 Simplifying x = 12
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