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Simplifying 47 + -17 = 5(x + -2) Combine like terms: 47 + -17 = 30 30 = 5(x + -2) Reorder the terms: 30 = 5(-2 + x) 30 = (-2 * 5 + x * 5) 30 = (-10 + 5x) Solving 30 = -10 + 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. 30 + -5x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 30 + -5x = -10 + 0 30 + -5x = -10 Add '-30' to each side of the equation. 30 + -30 + -5x = -10 + -30 Combine like terms: 30 + -30 = 0 0 + -5x = -10 + -30 -5x = -10 + -30 Combine like terms: -10 + -30 = -40 -5x = -40 Divide each side by '-5'. x = 8 Simplifying x = 8
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