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Simplifying -6x + 2 = -2(4x + 7) Reorder the terms: 2 + -6x = -2(4x + 7) Reorder the terms: 2 + -6x = -2(7 + 4x) 2 + -6x = (7 * -2 + 4x * -2) 2 + -6x = (-14 + -8x) Solving 2 + -6x = -14 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 2 + -6x + 8x = -14 + -8x + 8x Combine like terms: -6x + 8x = 2x 2 + 2x = -14 + -8x + 8x Combine like terms: -8x + 8x = 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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