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Simplifying 3x + -5 = (x + -2) + 1 Reorder the terms: -5 + 3x = (x + -2) + 1 Reorder the terms: -5 + 3x = (-2 + x) + 1 Remove parenthesis around (-2 + x) -5 + 3x = -2 + x + 1 Reorder the terms: -5 + 3x = -2 + 1 + x Combine like terms: -2 + 1 = -1 -5 + 3x = -1 + x Solving -5 + 3x = -1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -5 + 3x + -1x = -1 + x + -1x Combine like terms: 3x + -1x = 2x -5 + 2x = -1 + x + -1x Combine like terms: x + -1x = 0 -5 + 2x = -1 + 0 -5 + 2x = -1 Add '5' to each side of the equation. -5 + 5 + 2x = -1 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = -1 + 5 2x = -1 + 5 Combine like terms: -1 + 5 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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