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Simplifying 27 + -17 = 5(x + -3) Combine like terms: 27 + -17 = 10 10 = 5(x + -3) Reorder the terms: 10 = 5(-3 + x) 10 = (-3 * 5 + x * 5) 10 = (-15 + 5x) Solving 10 = -15 + 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 = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + -5x = -15 + 0 10 + -5x = -15 Add '-10' to each side of the equation. 10 + -10 + -5x = -15 + -10 Combine like terms: 10 + -10 = 0 0 + -5x = -15 + -10 -5x = -15 + -10 Combine like terms: -15 + -10 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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