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Simplifying 4 + 2(3x + -6) = 12 + -4x Reorder the terms: 4 + 2(-6 + 3x) = 12 + -4x 4 + (-6 * 2 + 3x * 2) = 12 + -4x 4 + (-12 + 6x) = 12 + -4x Combine like terms: 4 + -12 = -8 -8 + 6x = 12 + -4x Solving -8 + 6x = 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. -8 + 6x + 4x = 12 + -4x + 4x Combine like terms: 6x + 4x = 10x -8 + 10x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 -8 + 10x = 12 + 0 -8 + 10x = 12 Add '8' to each side of the equation. -8 + 8 + 10x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 10x = 12 + 8 10x = 12 + 8 Combine like terms: 12 + 8 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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