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Simplifying 47 = 32 + -5(x + -1) Reorder the terms: 47 = 32 + -5(-1 + x) 47 = 32 + (-1 * -5 + x * -5) 47 = 32 + (5 + -5x) Combine like terms: 32 + 5 = 37 47 = 37 + -5x Solving 47 = 37 + -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. 47 + 5x = 37 + -5x + 5x Combine like terms: -5x + 5x = 0 47 + 5x = 37 + 0 47 + 5x = 37 Add '-47' to each side of the equation. 47 + -47 + 5x = 37 + -47 Combine like terms: 47 + -47 = 0 0 + 5x = 37 + -47 5x = 37 + -47 Combine like terms: 37 + -47 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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