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Simplifying 3(-2 + x) = -2(x + -4) (-2 * 3 + x * 3) = -2(x + -4) (-6 + 3x) = -2(x + -4) Reorder the terms: -6 + 3x = -2(-4 + x) -6 + 3x = (-4 * -2 + x * -2) -6 + 3x = (8 + -2x) Solving -6 + 3x = 8 + -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. -6 + 3x + 2x = 8 + -2x + 2x Combine like terms: 3x + 2x = 5x -6 + 5x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 5x = 8 + 0 -6 + 5x = 8 Add '6' to each side of the equation. -6 + 6 + 5x = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = 8 + 6 5x = 8 + 6 Combine like terms: 8 + 6 = 14 5x = 14 Divide each side by '5'. x = 2.8 Simplifying x = 2.8
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