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Simplifying 2(x + -2) = -9(3x + -6) Reorder the terms: 2(-2 + x) = -9(3x + -6) (-2 * 2 + x * 2) = -9(3x + -6) (-4 + 2x) = -9(3x + -6) Reorder the terms: -4 + 2x = -9(-6 + 3x) -4 + 2x = (-6 * -9 + 3x * -9) -4 + 2x = (54 + -27x) Solving -4 + 2x = 54 + -27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27x' to each side of the equation. -4 + 2x + 27x = 54 + -27x + 27x Combine like terms: 2x + 27x = 29x -4 + 29x = 54 + -27x + 27x Combine like terms: -27x + 27x = 0 -4 + 29x = 54 + 0 -4 + 29x = 54 Add '4' to each side of the equation. -4 + 4 + 29x = 54 + 4 Combine like terms: -4 + 4 = 0 0 + 29x = 54 + 4 29x = 54 + 4 Combine like terms: 54 + 4 = 58 29x = 58 Divide each side by '29'. x = 2 Simplifying x = 2
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