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Simplifying 6(x + -1) = 2(2x + 4) Reorder the terms: 6(-1 + x) = 2(2x + 4) (-1 * 6 + x * 6) = 2(2x + 4) (-6 + 6x) = 2(2x + 4) Reorder the terms: -6 + 6x = 2(4 + 2x) -6 + 6x = (4 * 2 + 2x * 2) -6 + 6x = (8 + 4x) Solving -6 + 6x = 8 + 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 + 6x + -4x = 8 + 4x + -4x Combine like terms: 6x + -4x = 2x -6 + 2x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + 2x = 8 + 0 -6 + 2x = 8 Add '6' to each side of the equation. -6 + 6 + 2x = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 8 + 6 2x = 8 + 6 Combine like terms: 8 + 6 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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