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Simplifying 47 + -2x = 7 + -10x Solving 47 + -2x = 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 + -2x + 10x = 7 + -10x + 10x Combine like terms: -2x + 10x = 8x 47 + 8x = 7 + -10x + 10x Combine like terms: -10x + 10x = 0 47 + 8x = 7 + 0 47 + 8x = 7 Add '-47' to each side of the equation. 47 + -47 + 8x = 7 + -47 Combine like terms: 47 + -47 = 0 0 + 8x = 7 + -47 8x = 7 + -47 Combine like terms: 7 + -47 = -40 8x = -40 Divide each side by '8'. x = -5 Simplifying x = -5
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