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Simplifying -2(4x + 3) = 12 + x Reorder the terms: -2(3 + 4x) = 12 + x (3 * -2 + 4x * -2) = 12 + x (-6 + -8x) = 12 + x Solving -6 + -8x = 12 + 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. -6 + -8x + -1x = 12 + x + -1x Combine like terms: -8x + -1x = -9x -6 + -9x = 12 + x + -1x Combine like terms: x + -1x = 0 -6 + -9x = 12 + 0 -6 + -9x = 12 Add '6' to each side of the equation. -6 + 6 + -9x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -9x = 12 + 6 -9x = 12 + 6 Combine like terms: 12 + 6 = 18 -9x = 18 Divide each side by '-9'. x = -2 Simplifying x = -2
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