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Simplifying 4(6 + -3x) = 6(-6x + 9) (6 * 4 + -3x * 4) = 6(-6x + 9) (24 + -12x) = 6(-6x + 9) Reorder the terms: 24 + -12x = 6(9 + -6x) 24 + -12x = (9 * 6 + -6x * 6) 24 + -12x = (54 + -36x) Solving 24 + -12x = 54 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. 24 + -12x + 36x = 54 + -36x + 36x Combine like terms: -12x + 36x = 24x 24 + 24x = 54 + -36x + 36x Combine like terms: -36x + 36x = 0 24 + 24x = 54 + 0 24 + 24x = 54 Add '-24' to each side of the equation. 24 + -24 + 24x = 54 + -24 Combine like terms: 24 + -24 = 0 0 + 24x = 54 + -24 24x = 54 + -24 Combine like terms: 54 + -24 = 30 24x = 30 Divide each side by '24'. x = 1.25 Simplifying x = 1.25
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