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Simplifying -2(4x + 7) = 2x + 6 Reorder the terms: -2(7 + 4x) = 2x + 6 (7 * -2 + 4x * -2) = 2x + 6 (-14 + -8x) = 2x + 6 Reorder the terms: -14 + -8x = 6 + 2x Solving -14 + -8x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -14 + -8x + -2x = 6 + 2x + -2x Combine like terms: -8x + -2x = -10x -14 + -10x = 6 + 2x + -2x Combine like terms: 2x + -2x = 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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