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Simplifying -5x + 1 = -35 + -2x Reorder the terms: 1 + -5x = -35 + -2x Solving 1 + -5x = -35 + -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 = -35 + -2x + 2x Combine like terms: -5x + 2x = -3x 1 + -3x = -35 + -2x + 2x Combine like terms: -2x + 2x = 0 1 + -3x = -35 + 0 1 + -3x = -35 Add '-1' to each side of the equation. 1 + -1 + -3x = -35 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = -35 + -1 -3x = -35 + -1 Combine like terms: -35 + -1 = -36 -3x = -36 Divide each side by '-3'. x = 12 Simplifying x = 12
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