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Simplifying 5 + 3x + -7x + 5x + -1x = 2x + -6 + x + 5 Combine like terms: 3x + -7x = -4x 5 + -4x + 5x + -1x = 2x + -6 + x + 5 Combine like terms: -4x + 5x = 1x 5 + 1x + -1x = 2x + -6 + x + 5 Combine like terms: 1x + -1x = 0 5 + 0 = 2x + -6 + x + 5 5 = 2x + -6 + x + 5 Reorder the terms: 5 = -6 + 5 + 2x + x Combine like terms: -6 + 5 = -1 5 = -1 + 2x + x Combine like terms: 2x + x = 3x 5 = -1 + 3x Solving 5 = -1 + 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. 5 + -3x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + -3x = -1 + 0 5 + -3x = -1 Add '-5' to each side of the equation. 5 + -5 + -3x = -1 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = -1 + -5 -3x = -1 + -5 Combine like terms: -1 + -5 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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