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Simplifying 12x + -1(4x + 6) = 6x + 4 Reorder the terms: 12x + -1(6 + 4x) = 6x + 4 12x + (6 * -1 + 4x * -1) = 6x + 4 12x + (-6 + -4x) = 6x + 4 Reorder the terms: -6 + 12x + -4x = 6x + 4 Combine like terms: 12x + -4x = 8x -6 + 8x = 6x + 4 Reorder the terms: -6 + 8x = 4 + 6x Solving -6 + 8x = 4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + 8x + -6x = 4 + 6x + -6x Combine like terms: 8x + -6x = 2x -6 + 2x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + 2x = 4 + 0 -6 + 2x = 4 Add '6' to each side of the equation. -6 + 6 + 2x = 4 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 4 + 6 2x = 4 + 6 Combine like terms: 4 + 6 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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