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Simplifying 31 = 1(x + -62) + 19 Reorder the terms: 31 = 1(-62 + x) + 19 31 = (-62 * 1 + x * 1) + 19 31 = (-62 + 1x) + 19 Reorder the terms: 31 = -62 + 19 + 1x Combine like terms: -62 + 19 = -43 31 = -43 + 1x Solving 31 = -43 + 1x 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. 31 + -1x = -43 + 1x + -1x Combine like terms: 1x + -1x = 0 31 + -1x = -43 + 0 31 + -1x = -43 Add '-31' to each side of the equation. 31 + -31 + -1x = -43 + -31 Combine like terms: 31 + -31 = 0 0 + -1x = -43 + -31 -1x = -43 + -31 Combine like terms: -43 + -31 = -74 -1x = -74 Divide each side by '-1'. x = 74 Simplifying x = 74
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