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Simplifying 6(4 + 3x) = (18 + -3x) * 2 (4 * 6 + 3x * 6) = (18 + -3x) * 2 (24 + 18x) = (18 + -3x) * 2 Reorder the terms for easier multiplication: 24 + 18x = 2(18 + -3x) 24 + 18x = (18 * 2 + -3x * 2) 24 + 18x = (36 + -6x) Solving 24 + 18x = 36 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 24 + 18x + 6x = 36 + -6x + 6x Combine like terms: 18x + 6x = 24x 24 + 24x = 36 + -6x + 6x Combine like terms: -6x + 6x = 0 24 + 24x = 36 + 0 24 + 24x = 36 Add '-24' to each side of the equation. 24 + -24 + 24x = 36 + -24 Combine like terms: 24 + -24 = 0 0 + 24x = 36 + -24 24x = 36 + -24 Combine like terms: 36 + -24 = 12 24x = 12 Divide each side by '24'. x = 0.5 Simplifying x = 0.5
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