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Simplifying -4 + -1(x + 2) = 2(3 + -2x) Reorder the terms: -4 + -1(2 + x) = 2(3 + -2x) -4 + (2 * -1 + x * -1) = 2(3 + -2x) -4 + (-2 + -1x) = 2(3 + -2x) Combine like terms: -4 + -2 = -6 -6 + -1x = 2(3 + -2x) -6 + -1x = (3 * 2 + -2x * 2) -6 + -1x = (6 + -4x) Solving -6 + -1x = 6 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -6 + -1x + 4x = 6 + -4x + 4x Combine like terms: -1x + 4x = 3x -6 + 3x = 6 + -4x + 4x Combine like terms: -4x + 4x = 0 -6 + 3x = 6 + 0 -6 + 3x = 6 Add '6' to each side of the equation. -6 + 6 + 3x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 6 + 6 3x = 6 + 6 Combine like terms: 6 + 6 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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