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Simplifying 6x + -4 + -2x = 12 + -1(4x + -8) + 2x Reorder the terms: -4 + 6x + -2x = 12 + -1(4x + -8) + 2x Combine like terms: 6x + -2x = 4x -4 + 4x = 12 + -1(4x + -8) + 2x Reorder the terms: -4 + 4x = 12 + -1(-8 + 4x) + 2x -4 + 4x = 12 + (-8 * -1 + 4x * -1) + 2x -4 + 4x = 12 + (8 + -4x) + 2x Combine like terms: 12 + 8 = 20 -4 + 4x = 20 + -4x + 2x Combine like terms: -4x + 2x = -2x -4 + 4x = 20 + -2x Solving -4 + 4x = 20 + -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 = 20 + -2x + 2x Combine like terms: 4x + 2x = 6x -4 + 6x = 20 + -2x + 2x Combine like terms: -2x + 2x = 0 -4 + 6x = 20 + 0 -4 + 6x = 20 Add '4' to each side of the equation. -4 + 4 + 6x = 20 + 4 Combine like terms: -4 + 4 = 0 0 + 6x = 20 + 4 6x = 20 + 4 Combine like terms: 20 + 4 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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