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Simplifying 7x + -1x + 35 = 2x + x + -12 Reorder the terms: 35 + 7x + -1x = 2x + x + -12 Combine like terms: 7x + -1x = 6x 35 + 6x = 2x + x + -12 Reorder the terms: 35 + 6x = -12 + 2x + x Combine like terms: 2x + x = 3x 35 + 6x = -12 + 3x Solving 35 + 6x = -12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 35 + 6x + -3x = -12 + 3x + -3x Combine like terms: 6x + -3x = 3x 35 + 3x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 35 + 3x = -12 + 0 35 + 3x = -12 Add '-35' to each side of the equation. 35 + -35 + 3x = -12 + -35 Combine like terms: 35 + -35 = 0 0 + 3x = -12 + -35 3x = -12 + -35 Combine like terms: -12 + -35 = -47 3x = -47 Divide each side by '3'. x = -15.66666667 Simplifying x = -15.66666667
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