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Simplifying -4(x + 2) = 6(2 + -1x) Reorder the terms: -4(2 + x) = 6(2 + -1x) (2 * -4 + x * -4) = 6(2 + -1x) (-8 + -4x) = 6(2 + -1x) -8 + -4x = (2 * 6 + -1x * 6) -8 + -4x = (12 + -6x) Solving -8 + -4x = 12 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -8 + -4x + 6x = 12 + -6x + 6x Combine like terms: -4x + 6x = 2x -8 + 2x = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 -8 + 2x = 12 + 0 -8 + 2x = 12 Add '8' to each side of the equation. -8 + 8 + 2x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = 12 + 8 2x = 12 + 8 Combine like terms: 12 + 8 = 20 2x = 20 Divide each side by '2'. x = 10 Simplifying x = 10
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