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Simplifying 12 + -1(x + 8) = 4x + -6 Reorder the terms: 12 + -1(8 + x) = 4x + -6 12 + (8 * -1 + x * -1) = 4x + -6 12 + (-8 + -1x) = 4x + -6 Combine like terms: 12 + -8 = 4 4 + -1x = 4x + -6 Reorder the terms: 4 + -1x = -6 + 4x Solving 4 + -1x = -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. 4 + -1x + -4x = -6 + 4x + -4x Combine like terms: -1x + -4x = -5x 4 + -5x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + -5x = -6 + 0 4 + -5x = -6 Add '-4' to each side of the equation. 4 + -4 + -5x = -6 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = -6 + -4 -5x = -6 + -4 Combine like terms: -6 + -4 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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