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Simplifying -1x + 5 = -35 + 42x + -3 Reorder the terms: 5 + -1x = -35 + 42x + -3 Reorder the terms: 5 + -1x = -35 + -3 + 42x Combine like terms: -35 + -3 = -38 5 + -1x = -38 + 42x Solving 5 + -1x = -38 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. 5 + -1x + -42x = -38 + 42x + -42x Combine like terms: -1x + -42x = -43x 5 + -43x = -38 + 42x + -42x Combine like terms: 42x + -42x = 0 5 + -43x = -38 + 0 5 + -43x = -38 Add '-5' to each side of the equation. 5 + -5 + -43x = -38 + -5 Combine like terms: 5 + -5 = 0 0 + -43x = -38 + -5 -43x = -38 + -5 Combine like terms: -38 + -5 = -43 -43x = -43 Divide each side by '-43'. x = 1 Simplifying x = 1
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