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Simplifying 47 + -5x = 7 + -10x Solving 47 + -5x = 7 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 47 + -5x + 10x = 7 + -10x + 10x Combine like terms: -5x + 10x = 5x 47 + 5x = 7 + -10x + 10x Combine like terms: -10x + 10x = 0 47 + 5x = 7 + 0 47 + 5x = 7 Add '-47' to each side of the equation. 47 + -47 + 5x = 7 + -47 Combine like terms: 47 + -47 = 0 0 + 5x = 7 + -47 5x = 7 + -47 Combine like terms: 7 + -47 = -40 5x = -40 Divide each side by '5'. x = -8 Simplifying x = -8
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