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Simplifying 9(-3x + -2) = 2(-4x + 10) Reorder the terms: 9(-2 + -3x) = 2(-4x + 10) (-2 * 9 + -3x * 9) = 2(-4x + 10) (-18 + -27x) = 2(-4x + 10) Reorder the terms: -18 + -27x = 2(10 + -4x) -18 + -27x = (10 * 2 + -4x * 2) -18 + -27x = (20 + -8x) Solving -18 + -27x = 20 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -18 + -27x + 8x = 20 + -8x + 8x Combine like terms: -27x + 8x = -19x -18 + -19x = 20 + -8x + 8x Combine like terms: -8x + 8x = 0 -18 + -19x = 20 + 0 -18 + -19x = 20 Add '18' to each side of the equation. -18 + 18 + -19x = 20 + 18 Combine like terms: -18 + 18 = 0 0 + -19x = 20 + 18 -19x = 20 + 18 Combine like terms: 20 + 18 = 38 -19x = 38 Divide each side by '-19'. x = -2 Simplifying x = -2
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