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Simplifying -1x + -6 + 3x + 6 = -5 + 5x + 10 Reorder the terms: -6 + 6 + -1x + 3x = -5 + 5x + 10 Combine like terms: -6 + 6 = 0 0 + -1x + 3x = -5 + 5x + 10 -1x + 3x = -5 + 5x + 10 Combine like terms: -1x + 3x = 2x 2x = -5 + 5x + 10 Reorder the terms: 2x = -5 + 10 + 5x Combine like terms: -5 + 10 = 5 2x = 5 + 5x Solving 2x = 5 + 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. 2x + -5x = 5 + 5x + -5x Combine like terms: 2x + -5x = -3x -3x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 -3x = 5 + 0 -3x = 5 Divide each side by '-3'. x = -1.666666667 Simplifying x = -1.666666667
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