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Simplifying -4(2x + 1) = 14 + x Reorder the terms: -4(1 + 2x) = 14 + x (1 * -4 + 2x * -4) = 14 + x (-4 + -8x) = 14 + x Solving -4 + -8x = 14 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -4 + -8x + -1x = 14 + x + -1x Combine like terms: -8x + -1x = -9x -4 + -9x = 14 + x + -1x Combine like terms: x + -1x = 0 -4 + -9x = 14 + 0 -4 + -9x = 14 Add '4' to each side of the equation. -4 + 4 + -9x = 14 + 4 Combine like terms: -4 + 4 = 0 0 + -9x = 14 + 4 -9x = 14 + 4 Combine like terms: 14 + 4 = 18 -9x = 18 Divide each side by '-9'. x = -2 Simplifying x = -2
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