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Simplifying -2x + -14 = -5(x + 7) Reorder the terms: -14 + -2x = -5(x + 7) Reorder the terms: -14 + -2x = -5(7 + x) -14 + -2x = (7 * -5 + x * -5) -14 + -2x = (-35 + -5x) Solving -14 + -2x = -35 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -14 + -2x + 5x = -35 + -5x + 5x Combine like terms: -2x + 5x = 3x -14 + 3x = -35 + -5x + 5x Combine like terms: -5x + 5x = 0 -14 + 3x = -35 + 0 -14 + 3x = -35 Add '14' to each side of the equation. -14 + 14 + 3x = -35 + 14 Combine like terms: -14 + 14 = 0 0 + 3x = -35 + 14 3x = -35 + 14 Combine like terms: -35 + 14 = -21 3x = -21 Divide each side by '3'. x = -7 Simplifying x = -7
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