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Simplifying -8(5x + 8) = 38 + -6x Reorder the terms: -8(8 + 5x) = 38 + -6x (8 * -8 + 5x * -8) = 38 + -6x (-64 + -40x) = 38 + -6x Solving -64 + -40x = 38 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -64 + -40x + 6x = 38 + -6x + 6x Combine like terms: -40x + 6x = -34x -64 + -34x = 38 + -6x + 6x Combine like terms: -6x + 6x = 0 -64 + -34x = 38 + 0 -64 + -34x = 38 Add '64' to each side of the equation. -64 + 64 + -34x = 38 + 64 Combine like terms: -64 + 64 = 0 0 + -34x = 38 + 64 -34x = 38 + 64 Combine like terms: 38 + 64 = 102 -34x = 102 Divide each side by '-34'. x = -3 Simplifying x = -3
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