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Simplifying 9(x + -2) + -3(x + -1) = -1 + -1x Reorder the terms: 9(-2 + x) + -3(x + -1) = -1 + -1x (-2 * 9 + x * 9) + -3(x + -1) = -1 + -1x (-18 + 9x) + -3(x + -1) = -1 + -1x Reorder the terms: -18 + 9x + -3(-1 + x) = -1 + -1x -18 + 9x + (-1 * -3 + x * -3) = -1 + -1x -18 + 9x + (3 + -3x) = -1 + -1x Reorder the terms: -18 + 3 + 9x + -3x = -1 + -1x Combine like terms: -18 + 3 = -15 -15 + 9x + -3x = -1 + -1x Combine like terms: 9x + -3x = 6x -15 + 6x = -1 + -1x Solving -15 + 6x = -1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -15 + 6x + x = -1 + -1x + x Combine like terms: 6x + x = 7x -15 + 7x = -1 + -1x + x Combine like terms: -1x + x = 0 -15 + 7x = -1 + 0 -15 + 7x = -1 Add '15' to each side of the equation. -15 + 15 + 7x = -1 + 15 Combine like terms: -15 + 15 = 0 0 + 7x = -1 + 15 7x = -1 + 15 Combine like terms: -1 + 15 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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