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Simplifying 6(3 + -2x) = 5(4 + -3x) (3 * 6 + -2x * 6) = 5(4 + -3x) (18 + -12x) = 5(4 + -3x) 18 + -12x = (4 * 5 + -3x * 5) 18 + -12x = (20 + -15x) Solving 18 + -12x = 20 + -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. 18 + -12x + 15x = 20 + -15x + 15x Combine like terms: -12x + 15x = 3x 18 + 3x = 20 + -15x + 15x Combine like terms: -15x + 15x = 0 18 + 3x = 20 + 0 18 + 3x = 20 Add '-18' to each side of the equation. 18 + -18 + 3x = 20 + -18 Combine like terms: 18 + -18 = 0 0 + 3x = 20 + -18 3x = 20 + -18 Combine like terms: 20 + -18 = 2 3x = 2 Divide each side by '3'. x = 0.6666666667 Simplifying x = 0.6666666667
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