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Simplifying -4(8x + 6) + -7x = 38 + -8x Reorder the terms: -4(6 + 8x) + -7x = 38 + -8x (6 * -4 + 8x * -4) + -7x = 38 + -8x (-24 + -32x) + -7x = 38 + -8x Combine like terms: -32x + -7x = -39x -24 + -39x = 38 + -8x Solving -24 + -39x = 38 + -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. -24 + -39x + 8x = 38 + -8x + 8x Combine like terms: -39x + 8x = -31x -24 + -31x = 38 + -8x + 8x Combine like terms: -8x + 8x = 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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