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