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Simplifying 6x + 3 + 28 = 40 + -1x + -2 Reorder the terms: 3 + 28 + 6x = 40 + -1x + -2 Combine like terms: 3 + 28 = 31 31 + 6x = 40 + -1x + -2 Reorder the terms: 31 + 6x = 40 + -2 + -1x Combine like terms: 40 + -2 = 38 31 + 6x = 38 + -1x Solving 31 + 6x = 38 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 31 + 6x + x = 38 + -1x + x Combine like terms: 6x + x = 7x 31 + 7x = 38 + -1x + x Combine like terms: -1x + x = 0 31 + 7x = 38 + 0 31 + 7x = 38 Add '-31' to each side of the equation. 31 + -31 + 7x = 38 + -31 Combine like terms: 31 + -31 = 0 0 + 7x = 38 + -31 7x = 38 + -31 Combine like terms: 38 + -31 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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