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Simplifying x + 2 + -2x + 4 = 5x + -1 Reorder the terms: 2 + 4 + x + -2x = 5x + -1 Combine like terms: 2 + 4 = 6 6 + x + -2x = 5x + -1 Combine like terms: x + -2x = -1x 6 + -1x = 5x + -1 Reorder the terms: 6 + -1x = -1 + 5x Solving 6 + -1x = -1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6 + -1x + -5x = -1 + 5x + -5x Combine like terms: -1x + -5x = -6x 6 + -6x = -1 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + -6x = -1 + 0 6 + -6x = -1 Add '-6' to each side of the equation. 6 + -6 + -6x = -1 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = -1 + -6 -6x = -1 + -6 Combine like terms: -1 + -6 = -7 -6x = -7 Divide each side by '-6'. x = 1.166666667 Simplifying x = 1.166666667
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