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Simplifying 38 + -1(x + 6) = 8x + -4 Reorder the terms: 38 + -1(6 + x) = 8x + -4 38 + (6 * -1 + x * -1) = 8x + -4 38 + (-6 + -1x) = 8x + -4 Combine like terms: 38 + -6 = 32 32 + -1x = 8x + -4 Reorder the terms: 32 + -1x = -4 + 8x Solving 32 + -1x = -4 + 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. 32 + -1x + -8x = -4 + 8x + -8x Combine like terms: -1x + -8x = -9x 32 + -9x = -4 + 8x + -8x Combine like terms: 8x + -8x = 0 32 + -9x = -4 + 0 32 + -9x = -4 Add '-32' to each side of the equation. 32 + -32 + -9x = -4 + -32 Combine like terms: 32 + -32 = 0 0 + -9x = -4 + -32 -9x = -4 + -32 Combine like terms: -4 + -32 = -36 -9x = -36 Divide each side by '-9'. x = 4 Simplifying x = 4
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