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Simplifying 4(6 + -3x) = 9(5 + -3x) (6 * 4 + -3x * 4) = 9(5 + -3x) (24 + -12x) = 9(5 + -3x) 24 + -12x = (5 * 9 + -3x * 9) 24 + -12x = (45 + -27x) Solving 24 + -12x = 45 + -27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27x' to each side of the equation. 24 + -12x + 27x = 45 + -27x + 27x Combine like terms: -12x + 27x = 15x 24 + 15x = 45 + -27x + 27x Combine like terms: -27x + 27x = 0 24 + 15x = 45 + 0 24 + 15x = 45 Add '-24' to each side of the equation. 24 + -24 + 15x = 45 + -24 Combine like terms: 24 + -24 = 0 0 + 15x = 45 + -24 15x = 45 + -24 Combine like terms: 45 + -24 = 21 15x = 21 Divide each side by '15'. x = 1.4 Simplifying x = 1.4
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