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Simplifying -4x + 2 = -2(3x + 7) Reorder the terms: 2 + -4x = -2(3x + 7) Reorder the terms: 2 + -4x = -2(7 + 3x) 2 + -4x = (7 * -2 + 3x * -2) 2 + -4x = (-14 + -6x) Solving 2 + -4x = -14 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 2 + -4x + 6x = -14 + -6x + 6x Combine like terms: -4x + 6x = 2x 2 + 2x = -14 + -6x + 6x Combine like terms: -6x + 6x = 0 2 + 2x = -14 + 0 2 + 2x = -14 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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