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Simplifying 6(10 + -3x) = -24x + 72 (10 * 6 + -3x * 6) = -24x + 72 (60 + -18x) = -24x + 72 Reorder the terms: 60 + -18x = 72 + -24x Solving 60 + -18x = 72 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 60 + -18x + 24x = 72 + -24x + 24x Combine like terms: -18x + 24x = 6x 60 + 6x = 72 + -24x + 24x Combine like terms: -24x + 24x = 0 60 + 6x = 72 + 0 60 + 6x = 72 Add '-60' to each side of the equation. 60 + -60 + 6x = 72 + -60 Combine like terms: 60 + -60 = 0 0 + 6x = 72 + -60 6x = 72 + -60 Combine like terms: 72 + -60 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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