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Simplifying 2x + 5 + 6(x + -1) = 31 Reorder the terms: 2x + 5 + 6(-1 + x) = 31 2x + 5 + (-1 * 6 + x * 6) = 31 2x + 5 + (-6 + 6x) = 31 Reorder the terms: 5 + -6 + 2x + 6x = 31 Combine like terms: 5 + -6 = -1 -1 + 2x + 6x = 31 Combine like terms: 2x + 6x = 8x -1 + 8x = 31 Solving -1 + 8x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 8x = 31 + 1 Combine like terms: -1 + 1 = 0 0 + 8x = 31 + 1 8x = 31 + 1 Combine like terms: 31 + 1 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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