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Simplifying 2(x + -1) = 4x + 2 + -2(2x + -6) Reorder the terms: 2(-1 + x) = 4x + 2 + -2(2x + -6) (-1 * 2 + x * 2) = 4x + 2 + -2(2x + -6) (-2 + 2x) = 4x + 2 + -2(2x + -6) Reorder the terms: -2 + 2x = 4x + 2 + -2(-6 + 2x) -2 + 2x = 4x + 2 + (-6 * -2 + 2x * -2) -2 + 2x = 4x + 2 + (12 + -4x) Reorder the terms: -2 + 2x = 2 + 12 + 4x + -4x Combine like terms: 2 + 12 = 14 -2 + 2x = 14 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + 2x = 14 + 0 -2 + 2x = 14 Solving -2 + 2x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 2x = 14 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 14 + 2 2x = 14 + 2 Combine like terms: 14 + 2 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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