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Simplifying 27 + -17 = 5(x + -9) Combine like terms: 27 + -17 = 10 10 = 5(x + -9) Reorder the terms: 10 = 5(-9 + x) 10 = (-9 * 5 + x * 5) 10 = (-45 + 5x) Solving 10 = -45 + 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. 10 + -5x = -45 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + -5x = -45 + 0 10 + -5x = -45 Add '-10' to each side of the equation. 10 + -10 + -5x = -45 + -10 Combine like terms: 10 + -10 = 0 0 + -5x = -45 + -10 -5x = -45 + -10 Combine like terms: -45 + -10 = -55 -5x = -55 Divide each side by '-5'. x = 11 Simplifying x = 11
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