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Simplifying 4x + -280 = 4(5 + -6x) + -2x Reorder the terms: -280 + 4x = 4(5 + -6x) + -2x -280 + 4x = (5 * 4 + -6x * 4) + -2x -280 + 4x = (20 + -24x) + -2x Combine like terms: -24x + -2x = -26x -280 + 4x = 20 + -26x Solving -280 + 4x = 20 + -26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26x' to each side of the equation. -280 + 4x + 26x = 20 + -26x + 26x Combine like terms: 4x + 26x = 30x -280 + 30x = 20 + -26x + 26x Combine like terms: -26x + 26x = 0 -280 + 30x = 20 + 0 -280 + 30x = 20 Add '280' to each side of the equation. -280 + 280 + 30x = 20 + 280 Combine like terms: -280 + 280 = 0 0 + 30x = 20 + 280 30x = 20 + 280 Combine like terms: 20 + 280 = 300 30x = 300 Divide each side by '30'. x = 10 Simplifying x = 10
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