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Simplifying 6x + 31 = 4 + -1(2x + 5) Reorder the terms: 31 + 6x = 4 + -1(2x + 5) Reorder the terms: 31 + 6x = 4 + -1(5 + 2x) 31 + 6x = 4 + (5 * -1 + 2x * -1) 31 + 6x = 4 + (-5 + -2x) Combine like terms: 4 + -5 = -1 31 + 6x = -1 + -2x Solving 31 + 6x = -1 + -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. 31 + 6x + 2x = -1 + -2x + 2x Combine like terms: 6x + 2x = 8x 31 + 8x = -1 + -2x + 2x Combine like terms: -2x + 2x = 0 31 + 8x = -1 + 0 31 + 8x = -1 Add '-31' to each side of the equation. 31 + -31 + 8x = -1 + -31 Combine like terms: 31 + -31 = 0 0 + 8x = -1 + -31 8x = -1 + -31 Combine like terms: -1 + -31 = -32 8x = -32 Divide each side by '8'. x = -4 Simplifying x = -4
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