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Simplifying -2(x + 7) = 8x + 6 Reorder the terms: -2(7 + x) = 8x + 6 (7 * -2 + x * -2) = 8x + 6 (-14 + -2x) = 8x + 6 Reorder the terms: -14 + -2x = 6 + 8x Solving -14 + -2x = 6 + 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. -14 + -2x + -8x = 6 + 8x + -8x Combine like terms: -2x + -8x = -10x -14 + -10x = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 -14 + -10x = 6 + 0 -14 + -10x = 6 Add '14' to each side of the equation. -14 + 14 + -10x = 6 + 14 Combine like terms: -14 + 14 = 0 0 + -10x = 6 + 14 -10x = 6 + 14 Combine like terms: 6 + 14 = 20 -10x = 20 Divide each side by '-10'. x = -2 Simplifying x = -2
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