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Simplifying 9(x + -2) + -5(-2x + -1) = 18(x + -1) + -6 Reorder the terms: 9(-2 + x) + -5(-2x + -1) = 18(x + -1) + -6 (-2 * 9 + x * 9) + -5(-2x + -1) = 18(x + -1) + -6 (-18 + 9x) + -5(-2x + -1) = 18(x + -1) + -6 Reorder the terms: -18 + 9x + -5(-1 + -2x) = 18(x + -1) + -6 -18 + 9x + (-1 * -5 + -2x * -5) = 18(x + -1) + -6 -18 + 9x + (5 + 10x) = 18(x + -1) + -6 Reorder the terms: -18 + 5 + 9x + 10x = 18(x + -1) + -6 Combine like terms: -18 + 5 = -13 -13 + 9x + 10x = 18(x + -1) + -6 Combine like terms: 9x + 10x = 19x -13 + 19x = 18(x + -1) + -6 Reorder the terms: -13 + 19x = 18(-1 + x) + -6 -13 + 19x = (-1 * 18 + x * 18) + -6 -13 + 19x = (-18 + 18x) + -6 Reorder the terms: -13 + 19x = -18 + -6 + 18x Combine like terms: -18 + -6 = -24 -13 + 19x = -24 + 18x Solving -13 + 19x = -24 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -13 + 19x + -18x = -24 + 18x + -18x Combine like terms: 19x + -18x = 1x -13 + 1x = -24 + 18x + -18x Combine like terms: 18x + -18x = 0 -13 + 1x = -24 + 0 -13 + 1x = -24 Add '13' to each side of the equation. -13 + 13 + 1x = -24 + 13 Combine like terms: -13 + 13 = 0 0 + 1x = -24 + 13 1x = -24 + 13 Combine like terms: -24 + 13 = -11 1x = -11 Divide each side by '1'. x = -11 Simplifying x = -11
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