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Simplifying x + 5 + -2x + 3 = 7 + -3x + -1 Reorder the terms: 5 + 3 + x + -2x = 7 + -3x + -1 Combine like terms: 5 + 3 = 8 8 + x + -2x = 7 + -3x + -1 Combine like terms: x + -2x = -1x 8 + -1x = 7 + -3x + -1 Reorder the terms: 8 + -1x = 7 + -1 + -3x Combine like terms: 7 + -1 = 6 8 + -1x = 6 + -3x Solving 8 + -1x = 6 + -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. 8 + -1x + 3x = 6 + -3x + 3x Combine like terms: -1x + 3x = 2x 8 + 2x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 8 + 2x = 6 + 0 8 + 2x = 6 Add '-8' to each side of the equation. 8 + -8 + 2x = 6 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 6 + -8 2x = 6 + -8 Combine like terms: 6 + -8 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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