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Simplifying 2(5x + -1) + -9(x + -1) = 0 Reorder the terms: 2(-1 + 5x) + -9(x + -1) = 0 (-1 * 2 + 5x * 2) + -9(x + -1) = 0 (-2 + 10x) + -9(x + -1) = 0 Reorder the terms: -2 + 10x + -9(-1 + x) = 0 -2 + 10x + (-1 * -9 + x * -9) = 0 -2 + 10x + (9 + -9x) = 0 Reorder the terms: -2 + 9 + 10x + -9x = 0 Combine like terms: -2 + 9 = 7 7 + 10x + -9x = 0 Combine like terms: 10x + -9x = 1x 7 + 1x = 0 Solving 7 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 0 + -7 1x = 0 + -7 Combine like terms: 0 + -7 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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