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Simplifying 5(12 + -3x) = 3(10 + -4x) (12 * 5 + -3x * 5) = 3(10 + -4x) (60 + -15x) = 3(10 + -4x) 60 + -15x = (10 * 3 + -4x * 3) 60 + -15x = (30 + -12x) Solving 60 + -15x = 30 + -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. 60 + -15x + 12x = 30 + -12x + 12x Combine like terms: -15x + 12x = -3x 60 + -3x = 30 + -12x + 12x Combine like terms: -12x + 12x = 0 60 + -3x = 30 + 0 60 + -3x = 30 Add '-60' to each side of the equation. 60 + -60 + -3x = 30 + -60 Combine like terms: 60 + -60 = 0 0 + -3x = 30 + -60 -3x = 30 + -60 Combine like terms: 30 + -60 = -30 -3x = -30 Divide each side by '-3'. x = 10 Simplifying x = 10
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