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Simplifying 14 + -48 = 5(x + -1) + -9 Combine like terms: 14 + -48 = -34 -34 = 5(x + -1) + -9 Reorder the terms: -34 = 5(-1 + x) + -9 -34 = (-1 * 5 + x * 5) + -9 -34 = (-5 + 5x) + -9 Reorder the terms: -34 = -5 + -9 + 5x Combine like terms: -5 + -9 = -14 -34 = -14 + 5x Solving -34 = -14 + 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. -34 + -5x = -14 + 5x + -5x Combine like terms: 5x + -5x = 0 -34 + -5x = -14 + 0 -34 + -5x = -14 Add '34' to each side of the equation. -34 + 34 + -5x = -14 + 34 Combine like terms: -34 + 34 = 0 0 + -5x = -14 + 34 -5x = -14 + 34 Combine like terms: -14 + 34 = 20 -5x = 20 Divide each side by '-5'. x = -4 Simplifying x = -4
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