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Simplifying -2(4 + 3x) = 3(x + -2) (4 * -2 + 3x * -2) = 3(x + -2) (-8 + -6x) = 3(x + -2) Reorder the terms: -8 + -6x = 3(-2 + x) -8 + -6x = (-2 * 3 + x * 3) -8 + -6x = (-6 + 3x) Solving -8 + -6x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -8 + -6x + -3x = -6 + 3x + -3x Combine like terms: -6x + -3x = -9x -8 + -9x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + -9x = -6 + 0 -8 + -9x = -6 Add '8' to each side of the equation. -8 + 8 + -9x = -6 + 8 Combine like terms: -8 + 8 = 0 0 + -9x = -6 + 8 -9x = -6 + 8 Combine like terms: -6 + 8 = 2 -9x = 2 Divide each side by '-9'. x = -0.2222222222 Simplifying x = -0.2222222222
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