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Simplifying 6x + -1(2x + 4) = 2x + 12 Reorder the terms: 6x + -1(4 + 2x) = 2x + 12 6x + (4 * -1 + 2x * -1) = 2x + 12 6x + (-4 + -2x) = 2x + 12 Reorder the terms: -4 + 6x + -2x = 2x + 12 Combine like terms: 6x + -2x = 4x -4 + 4x = 2x + 12 Reorder the terms: -4 + 4x = 12 + 2x Solving -4 + 4x = 12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -4 + 4x + -2x = 12 + 2x + -2x Combine like terms: 4x + -2x = 2x -4 + 2x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + 2x = 12 + 0 -4 + 2x = 12 Add '4' to each side of the equation. -4 + 4 + 2x = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = 12 + 4 2x = 12 + 4 Combine like terms: 12 + 4 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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