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Simplifying 4(2 + -3x) = 5(2 + -3x) (2 * 4 + -3x * 4) = 5(2 + -3x) (8 + -12x) = 5(2 + -3x) 8 + -12x = (2 * 5 + -3x * 5) 8 + -12x = (10 + -15x) Solving 8 + -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. 8 + -12x + 15x = 10 + -15x + 15x Combine like terms: -12x + 15x = 3x 8 + 3x = 10 + -15x + 15x Combine like terms: -15x + 15x = 0 8 + 3x = 10 + 0 8 + 3x = 10 Add '-8' to each side of the equation. 8 + -8 + 3x = 10 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = 10 + -8 3x = 10 + -8 Combine like terms: 10 + -8 = 2 3x = 2 Divide each side by '3'. x = 0.6666666667 Simplifying x = 0.6666666667
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