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Simplifying -5(x + 7) = -8x + -14 Reorder the terms: -5(7 + x) = -8x + -14 (7 * -5 + x * -5) = -8x + -14 (-35 + -5x) = -8x + -14 Reorder the terms: -35 + -5x = -14 + -8x Solving -35 + -5x = -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. -35 + -5x + 8x = -14 + -8x + 8x Combine like terms: -5x + 8x = 3x -35 + 3x = -14 + -8x + 8x Combine like terms: -8x + 8x = 0 -35 + 3x = -14 + 0 -35 + 3x = -14 Add '35' to each side of the equation. -35 + 35 + 3x = -14 + 35 Combine like terms: -35 + 35 = 0 0 + 3x = -14 + 35 3x = -14 + 35 Combine like terms: -14 + 35 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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