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Simplifying 10(6 + x) = 15(x + -2) (6 * 10 + x * 10) = 15(x + -2) (60 + 10x) = 15(x + -2) Reorder the terms: 60 + 10x = 15(-2 + x) 60 + 10x = (-2 * 15 + x * 15) 60 + 10x = (-30 + 15x) Solving 60 + 10x = -30 + 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. 60 + 10x + -15x = -30 + 15x + -15x Combine like terms: 10x + -15x = -5x 60 + -5x = -30 + 15x + -15x Combine like terms: 15x + -15x = 0 60 + -5x = -30 + 0 60 + -5x = -30 Add '-60' to each side of the equation. 60 + -60 + -5x = -30 + -60 Combine like terms: 60 + -60 = 0 0 + -5x = -30 + -60 -5x = -30 + -60 Combine like terms: -30 + -60 = -90 -5x = -90 Divide each side by '-5'. x = 18 Simplifying x = 18
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