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Simplifying -2x + 6 = -2(2x + 4) Reorder the terms: 6 + -2x = -2(2x + 4) Reorder the terms: 6 + -2x = -2(4 + 2x) 6 + -2x = (4 * -2 + 2x * -2) 6 + -2x = (-8 + -4x) Solving 6 + -2x = -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 + -2x + 4x = -8 + -4x + 4x Combine like terms: -2x + 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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