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Simplifying 18(-10x + 20) = -33(x + -2) Reorder the terms: 18(20 + -10x) = -33(x + -2) (20 * 18 + -10x * 18) = -33(x + -2) (360 + -180x) = -33(x + -2) Reorder the terms: 360 + -180x = -33(-2 + x) 360 + -180x = (-2 * -33 + x * -33) 360 + -180x = (66 + -33x) Solving 360 + -180x = 66 + -33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33x' to each side of the equation. 360 + -180x + 33x = 66 + -33x + 33x Combine like terms: -180x + 33x = -147x 360 + -147x = 66 + -33x + 33x Combine like terms: -33x + 33x = 0 360 + -147x = 66 + 0 360 + -147x = 66 Add '-360' to each side of the equation. 360 + -360 + -147x = 66 + -360 Combine like terms: 360 + -360 = 0 0 + -147x = 66 + -360 -147x = 66 + -360 Combine like terms: 66 + -360 = -294 -147x = -294 Divide each side by '-147'. x = 2 Simplifying x = 2
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