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Simplifying 37 + -1(x + 6) = 8x + -5 Reorder the terms: 37 + -1(6 + x) = 8x + -5 37 + (6 * -1 + x * -1) = 8x + -5 37 + (-6 + -1x) = 8x + -5 Combine like terms: 37 + -6 = 31 31 + -1x = 8x + -5 Reorder the terms: 31 + -1x = -5 + 8x Solving 31 + -1x = -5 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 31 + -1x + -8x = -5 + 8x + -8x Combine like terms: -1x + -8x = -9x 31 + -9x = -5 + 8x + -8x Combine like terms: 8x + -8x = 0 31 + -9x = -5 + 0 31 + -9x = -5 Add '-31' to each side of the equation. 31 + -31 + -9x = -5 + -31 Combine like terms: 31 + -31 = 0 0 + -9x = -5 + -31 -9x = -5 + -31 Combine like terms: -5 + -31 = -36 -9x = -36 Divide each side by '-9'. x = 4 Simplifying x = 4
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