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