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Simplifying 6 + -1x + 12 = 10x + 7 Reorder the terms: 6 + 12 + -1x = 10x + 7 Combine like terms: 6 + 12 = 18 18 + -1x = 10x + 7 Reorder the terms: 18 + -1x = 7 + 10x Solving 18 + -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. 18 + -1x + -10x = 7 + 10x + -10x Combine like terms: -1x + -10x = -11x 18 + -11x = 7 + 10x + -10x Combine like terms: 10x + -10x = 0 18 + -11x = 7 + 0 18 + -11x = 7 Add '-18' to each side of the equation. 18 + -18 + -11x = 7 + -18 Combine like terms: 18 + -18 = 0 0 + -11x = 7 + -18 -11x = 7 + -18 Combine like terms: 7 + -18 = -11 -11x = -11 Divide each side by '-11'. x = 1 Simplifying x = 1
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