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