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Simplifying -8(3 + -4x) + 8x = 9x + 38 (3 * -8 + -4x * -8) + 8x = 9x + 38 (-24 + 32x) + 8x = 9x + 38 Combine like terms: 32x + 8x = 40x -24 + 40x = 9x + 38 Reorder the terms: -24 + 40x = 38 + 9x Solving -24 + 40x = 38 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -24 + 40x + -9x = 38 + 9x + -9x Combine like terms: 40x + -9x = 31x -24 + 31x = 38 + 9x + -9x Combine like terms: 9x + -9x = 0 -24 + 31x = 38 + 0 -24 + 31x = 38 Add '24' to each side of the equation. -24 + 24 + 31x = 38 + 24 Combine like terms: -24 + 24 = 0 0 + 31x = 38 + 24 31x = 38 + 24 Combine like terms: 38 + 24 = 62 31x = 62 Divide each side by '31'. x = 2 Simplifying x = 2
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