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Simplifying 6 + -1x + 1 = 2x + -1 Reorder the terms: 6 + 1 + -1x = 2x + -1 Combine like terms: 6 + 1 = 7 7 + -1x = 2x + -1 Reorder the terms: 7 + -1x = -1 + 2x Solving 7 + -1x = -1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 7 + -1x + -2x = -1 + 2x + -2x Combine like terms: -1x + -2x = -3x 7 + -3x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + -3x = -1 + 0 7 + -3x = -1 Add '-7' to each side of the equation. 7 + -7 + -3x = -1 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = -1 + -7 -3x = -1 + -7 Combine like terms: -1 + -7 = -8 -3x = -8 Divide each side by '-3'. x = 2.666666667 Simplifying x = 2.666666667
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