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Simplifying 9(-2x + 1) + 10x = -3(x + -3) Reorder the terms: 9(1 + -2x) + 10x = -3(x + -3) (1 * 9 + -2x * 9) + 10x = -3(x + -3) (9 + -18x) + 10x = -3(x + -3) Combine like terms: -18x + 10x = -8x 9 + -8x = -3(x + -3) Reorder the terms: 9 + -8x = -3(-3 + x) 9 + -8x = (-3 * -3 + x * -3) 9 + -8x = (9 + -3x) Add '-9' to each side of the equation. 9 + -9 + -8x = 9 + -9 + -3x Combine like terms: 9 + -9 = 0 0 + -8x = 9 + -9 + -3x -8x = 9 + -9 + -3x Combine like terms: 9 + -9 = 0 -8x = 0 + -3x -8x = -3x Solving -8x = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -8x + 3x = -3x + 3x Combine like terms: -8x + 3x = -5x -5x = -3x + 3x Combine like terms: -3x + 3x = 0 -5x = 0 Divide each side by '-5'. x = 0 Simplifying x = 0
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