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Simplifying 12 + -1(x + 6) = 4x + -4 Reorder the terms: 12 + -1(6 + x) = 4x + -4 12 + (6 * -1 + x * -1) = 4x + -4 12 + (-6 + -1x) = 4x + -4 Combine like terms: 12 + -6 = 6 6 + -1x = 4x + -4 Reorder the terms: 6 + -1x = -4 + 4x Solving 6 + -1x = -4 + 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 + -1x + -4x = -4 + 4x + -4x Combine like terms: -1x + -4x = -5x 6 + -5x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + -5x = -4 + 0 6 + -5x = -4 Add '-6' to each side of the equation. 6 + -6 + -5x = -4 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = -4 + -6 -5x = -4 + -6 Combine like terms: -4 + -6 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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