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Simplifying -1x + 12 = 10x + 7 Reorder the terms: 12 + -1x = 10x + 7 Reorder the terms: 12 + -1x = 7 + 10x Solving 12 + -1x = 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. 12 + -1x + -10x = 7 + 10x + -10x Combine like terms: -1x + -10x = -11x 12 + -11x = 7 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + -11x = 7 + 0 12 + -11x = 7 Add '-12' to each side of the equation. 12 + -12 + -11x = 7 + -12 Combine like terms: 12 + -12 = 0 0 + -11x = 7 + -12 -11x = 7 + -12 Combine like terms: 7 + -12 = -5 -11x = -5 Divide each side by '-11'. x = 0.4545454545 Simplifying x = 0.4545454545
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