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Simplifying 38 + -1(x + 7) = 8x + -5 Reorder the terms: 38 + -1(7 + x) = 8x + -5 38 + (7 * -1 + x * -1) = 8x + -5 38 + (-7 + -1x) = 8x + -5 Combine like terms: 38 + -7 = 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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