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Simplifying -3(x + 4) = 6 + -4x Reorder the terms: -3(4 + x) = 6 + -4x (4 * -3 + x * -3) = 6 + -4x (-12 + -3x) = 6 + -4x Solving -12 + -3x = 6 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -12 + -3x + 4x = 6 + -4x + 4x Combine like terms: -3x + 4x = 1x -12 + 1x = 6 + -4x + 4x Combine like terms: -4x + 4x = 0 -12 + 1x = 6 + 0 -12 + 1x = 6 Add '12' to each side of the equation. -12 + 12 + 1x = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = 6 + 12 1x = 6 + 12 Combine like terms: 6 + 12 = 18 1x = 18 Divide each side by '1'. x = 18 Simplifying x = 18
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