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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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