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Simplifying 6(4 + -3x) = 10(3 + -2x) + 3 (4 * 6 + -3x * 6) = 10(3 + -2x) + 3 (24 + -18x) = 10(3 + -2x) + 3 24 + -18x = (3 * 10 + -2x * 10) + 3 24 + -18x = (30 + -20x) + 3 Reorder the terms: 24 + -18x = 30 + 3 + -20x Combine like terms: 30 + 3 = 33 24 + -18x = 33 + -20x Solving 24 + -18x = 33 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 24 + -18x + 20x = 33 + -20x + 20x Combine like terms: -18x + 20x = 2x 24 + 2x = 33 + -20x + 20x Combine like terms: -20x + 20x = 0 24 + 2x = 33 + 0 24 + 2x = 33 Add '-24' to each side of the equation. 24 + -24 + 2x = 33 + -24 Combine like terms: 24 + -24 = 0 0 + 2x = 33 + -24 2x = 33 + -24 Combine like terms: 33 + -24 = 9 2x = 9 Divide each side by '2'. x = 4.5 Simplifying x = 4.5
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