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Simplifying -2(x + 4) = 8x + 1 Reorder the terms: -2(4 + x) = 8x + 1 (4 * -2 + x * -2) = 8x + 1 (-8 + -2x) = 8x + 1 Reorder the terms: -8 + -2x = 1 + 8x Solving -8 + -2x = 1 + 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. -8 + -2x + -8x = 1 + 8x + -8x Combine like terms: -2x + -8x = -10x -8 + -10x = 1 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + -10x = 1 + 0 -8 + -10x = 1 Add '8' to each side of the equation. -8 + 8 + -10x = 1 + 8 Combine like terms: -8 + 8 = 0 0 + -10x = 1 + 8 -10x = 1 + 8 Combine like terms: 1 + 8 = 9 -10x = 9 Divide each side by '-10'. x = -0.9 Simplifying x = -0.9
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