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Simplifying 20(10x + -30) = 6(3x + 12) Reorder the terms: 20(-30 + 10x) = 6(3x + 12) (-30 * 20 + 10x * 20) = 6(3x + 12) (-600 + 200x) = 6(3x + 12) Reorder the terms: -600 + 200x = 6(12 + 3x) -600 + 200x = (12 * 6 + 3x * 6) -600 + 200x = (72 + 18x) Solving -600 + 200x = 72 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -600 + 200x + -18x = 72 + 18x + -18x Combine like terms: 200x + -18x = 182x -600 + 182x = 72 + 18x + -18x Combine like terms: 18x + -18x = 0 -600 + 182x = 72 + 0 -600 + 182x = 72 Add '600' to each side of the equation. -600 + 600 + 182x = 72 + 600 Combine like terms: -600 + 600 = 0 0 + 182x = 72 + 600 182x = 72 + 600 Combine like terms: 72 + 600 = 672 182x = 672 Divide each side by '182'. x = 3.692307692 Simplifying x = 3.692307692
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