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Simplifying 200 + -16x + 100 = 24x + -280 + 100 Reorder the terms: 200 + 100 + -16x = 24x + -280 + 100 Combine like terms: 200 + 100 = 300 300 + -16x = 24x + -280 + 100 Reorder the terms: 300 + -16x = -280 + 100 + 24x Combine like terms: -280 + 100 = -180 300 + -16x = -180 + 24x Solving 300 + -16x = -180 + 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. 300 + -16x + -24x = -180 + 24x + -24x Combine like terms: -16x + -24x = -40x 300 + -40x = -180 + 24x + -24x Combine like terms: 24x + -24x = 0 300 + -40x = -180 + 0 300 + -40x = -180 Add '-300' to each side of the equation. 300 + -300 + -40x = -180 + -300 Combine like terms: 300 + -300 = 0 0 + -40x = -180 + -300 -40x = -180 + -300 Combine like terms: -180 + -300 = -480 -40x = -480 Divide each side by '-40'. x = 12 Simplifying x = 12
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