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Simplifying 2(1 + -8x) = -8x + -38 (1 * 2 + -8x * 2) = -8x + -38 (2 + -16x) = -8x + -38 Reorder the terms: 2 + -16x = -38 + -8x Solving 2 + -16x = -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. 2 + -16x + 8x = -38 + -8x + 8x Combine like terms: -16x + 8x = -8x 2 + -8x = -38 + -8x + 8x Combine like terms: -8x + 8x = 0 2 + -8x = -38 + 0 2 + -8x = -38 Add '-2' to each side of the equation. 2 + -2 + -8x = -38 + -2 Combine like terms: 2 + -2 = 0 0 + -8x = -38 + -2 -8x = -38 + -2 Combine like terms: -38 + -2 = -40 -8x = -40 Divide each side by '-8'. x = 5 Simplifying x = 5
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