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Simplifying 6(10 + -2x) = 5(2 + -3x) (10 * 6 + -2x * 6) = 5(2 + -3x) (60 + -12x) = 5(2 + -3x) 60 + -12x = (2 * 5 + -3x * 5) 60 + -12x = (10 + -15x) Solving 60 + -12x = 10 + -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 + -12x + 15x = 10 + -15x + 15x Combine like terms: -12x + 15x = 3x 60 + 3x = 10 + -15x + 15x Combine like terms: -15x + 15x = 0 60 + 3x = 10 + 0 60 + 3x = 10 Add '-60' to each side of the equation. 60 + -60 + 3x = 10 + -60 Combine like terms: 60 + -60 = 0 0 + 3x = 10 + -60 3x = 10 + -60 Combine like terms: 10 + -60 = -50 3x = -50 Divide each side by '3'. x = -16.66666667 Simplifying x = -16.66666667
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