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Simplifying 7x + -8 = -5(x + 6) + -14 Reorder the terms: -8 + 7x = -5(x + 6) + -14 Reorder the terms: -8 + 7x = -5(6 + x) + -14 -8 + 7x = (6 * -5 + x * -5) + -14 -8 + 7x = (-30 + -5x) + -14 Reorder the terms: -8 + 7x = -30 + -14 + -5x Combine like terms: -30 + -14 = -44 -8 + 7x = -44 + -5x Solving -8 + 7x = -44 + -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. -8 + 7x + 5x = -44 + -5x + 5x Combine like terms: 7x + 5x = 12x -8 + 12x = -44 + -5x + 5x Combine like terms: -5x + 5x = 0 -8 + 12x = -44 + 0 -8 + 12x = -44 Add '8' to each side of the equation. -8 + 8 + 12x = -44 + 8 Combine like terms: -8 + 8 = 0 0 + 12x = -44 + 8 12x = -44 + 8 Combine like terms: -44 + 8 = -36 12x = -36 Divide each side by '12'. x = -3 Simplifying x = -3
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