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