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Simplifying 47 + -3x = 12 + -10x Solving 47 + -3x = 12 + -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 + -3x + 10x = 12 + -10x + 10x Combine like terms: -3x + 10x = 7x 47 + 7x = 12 + -10x + 10x Combine like terms: -10x + 10x = 0 47 + 7x = 12 + 0 47 + 7x = 12 Add '-47' to each side of the equation. 47 + -47 + 7x = 12 + -47 Combine like terms: 47 + -47 = 0 0 + 7x = 12 + -47 7x = 12 + -47 Combine like terms: 12 + -47 = -35 7x = -35 Divide each side by '7'. x = -5 Simplifying x = -5
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