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Simplifying x + -31 = 53 + -6(x) Reorder the terms: -31 + x = 53 + -6(x) Solving -31 + x = 53 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -31 + x + 6x = 53 + -6x + 6x Combine like terms: x + 6x = 7x -31 + 7x = 53 + -6x + 6x Combine like terms: -6x + 6x = 0 -31 + 7x = 53 + 0 -31 + 7x = 53 Add '31' to each side of the equation. -31 + 31 + 7x = 53 + 31 Combine like terms: -31 + 31 = 0 0 + 7x = 53 + 31 7x = 53 + 31 Combine like terms: 53 + 31 = 84 7x = 84 Divide each side by '7'. x = 12 Simplifying x = 12
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