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Simplifying 4x + -6(6 + -1x) = 12 + 4x 4x + (6 * -6 + -1x * -6) = 12 + 4x 4x + (-36 + 6x) = 12 + 4x Reorder the terms: -36 + 4x + 6x = 12 + 4x Combine like terms: 4x + 6x = 10x -36 + 10x = 12 + 4x Solving -36 + 10x = 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. -36 + 10x + -4x = 12 + 4x + -4x Combine like terms: 10x + -4x = 6x -36 + 6x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -36 + 6x = 12 + 0 -36 + 6x = 12 Add '36' to each side of the equation. -36 + 36 + 6x = 12 + 36 Combine like terms: -36 + 36 = 0 0 + 6x = 12 + 36 6x = 12 + 36 Combine like terms: 12 + 36 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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