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Simplifying -2(x + 4) + 6 = 3(1 + -1x) Reorder the terms: -2(4 + x) + 6 = 3(1 + -1x) (4 * -2 + x * -2) + 6 = 3(1 + -1x) (-8 + -2x) + 6 = 3(1 + -1x) Reorder the terms: -8 + 6 + -2x = 3(1 + -1x) Combine like terms: -8 + 6 = -2 -2 + -2x = 3(1 + -1x) -2 + -2x = (1 * 3 + -1x * 3) -2 + -2x = (3 + -3x) Solving -2 + -2x = 3 + -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. -2 + -2x + 3x = 3 + -3x + 3x Combine like terms: -2x + 3x = 1x -2 + 1x = 3 + -3x + 3x Combine like terms: -3x + 3x = 0 -2 + 1x = 3 + 0 -2 + 1x = 3 Add '2' to each side of the equation. -2 + 2 + 1x = 3 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = 3 + 2 1x = 3 + 2 Combine like terms: 3 + 2 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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