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Simplifying 4x + -1(6 + -1x) = 12 + 4x 4x + (6 * -1 + -1x * -1) = 12 + 4x 4x + (-6 + 1x) = 12 + 4x Reorder the terms: -6 + 4x + 1x = 12 + 4x Combine like terms: 4x + 1x = 5x -6 + 5x = 12 + 4x Solving -6 + 5x = 12 + 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. -6 + 5x + -4x = 12 + 4x + -4x Combine like terms: 5x + -4x = 1x -6 + 1x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + 1x = 12 + 0 -6 + 1x = 12 Add '6' to each side of the equation. -6 + 6 + 1x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 12 + 6 1x = 12 + 6 Combine like terms: 12 + 6 = 18 1x = 18 Divide each side by '1'. x = 18 Simplifying x = 18
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