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Simplifying 9 + -3x = 2(5 + -2x) + -1(1 + -5x) 9 + -3x = (5 * 2 + -2x * 2) + -1(1 + -5x) 9 + -3x = (10 + -4x) + -1(1 + -5x) 9 + -3x = 10 + -4x + (1 * -1 + -5x * -1) 9 + -3x = 10 + -4x + (-1 + 5x) Reorder the terms: 9 + -3x = 10 + -1 + -4x + 5x Combine like terms: 10 + -1 = 9 9 + -3x = 9 + -4x + 5x Combine like terms: -4x + 5x = 1x 9 + -3x = 9 + 1x Add '-9' to each side of the equation. 9 + -9 + -3x = 9 + -9 + 1x Combine like terms: 9 + -9 = 0 0 + -3x = 9 + -9 + 1x -3x = 9 + -9 + 1x Combine like terms: 9 + -9 = 0 -3x = 0 + 1x -3x = 1x Solving -3x = 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -3x + -1x = 1x + -1x Combine like terms: -3x + -1x = -4x -4x = 1x + -1x Combine like terms: 1x + -1x = 0 -4x = 0 Divide each side by '-4'. x = 0 Simplifying x = 0
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