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Simplifying 4x + -2(3 + x) = 12 + -4x 4x + (3 * -2 + x * -2) = 12 + -4x 4x + (-6 + -2x) = 12 + -4x Reorder the terms: -6 + 4x + -2x = 12 + -4x Combine like terms: 4x + -2x = 2x -6 + 2x = 12 + -4x Solving -6 + 2x = 12 + -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 + 2x + 4x = 12 + -4x + 4x Combine like terms: 2x + 4x = 6x -6 + 6x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 -6 + 6x = 12 + 0 -6 + 6x = 12 Add '6' to each side of the equation. -6 + 6 + 6x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 12 + 6 6x = 12 + 6 Combine like terms: 12 + 6 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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