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Simplifying 15(6 + -1x) = 12(5 + -1x) (6 * 15 + -1x * 15) = 12(5 + -1x) (90 + -15x) = 12(5 + -1x) 90 + -15x = (5 * 12 + -1x * 12) 90 + -15x = (60 + -12x) Solving 90 + -15x = 60 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 90 + -15x + 12x = 60 + -12x + 12x Combine like terms: -15x + 12x = -3x 90 + -3x = 60 + -12x + 12x Combine like terms: -12x + 12x = 0 90 + -3x = 60 + 0 90 + -3x = 60 Add '-90' to each side of the equation. 90 + -90 + -3x = 60 + -90 Combine like terms: 90 + -90 = 0 0 + -3x = 60 + -90 -3x = 60 + -90 Combine like terms: 60 + -90 = -30 -3x = -30 Divide each side by '-3'. x = 10 Simplifying x = 10
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