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Simplifying -3x + 2(-4x + 2) = -2x + 24 Reorder the terms: -3x + 2(2 + -4x) = -2x + 24 -3x + (2 * 2 + -4x * 2) = -2x + 24 -3x + (4 + -8x) = -2x + 24 Reorder the terms: 4 + -3x + -8x = -2x + 24 Combine like terms: -3x + -8x = -11x 4 + -11x = -2x + 24 Reorder the terms: 4 + -11x = 24 + -2x Solving 4 + -11x = 24 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 4 + -11x + 2x = 24 + -2x + 2x Combine like terms: -11x + 2x = -9x 4 + -9x = 24 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + -9x = 24 + 0 4 + -9x = 24 Add '-4' to each side of the equation. 4 + -4 + -9x = 24 + -4 Combine like terms: 4 + -4 = 0 0 + -9x = 24 + -4 -9x = 24 + -4 Combine like terms: 24 + -4 = 20 -9x = 20 Divide each side by '-9'. x = -2.222222222 Simplifying x = -2.222222222
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