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Simplifying 2(3x + -2) = 4(x + -6) + 12 Reorder the terms: 2(-2 + 3x) = 4(x + -6) + 12 (-2 * 2 + 3x * 2) = 4(x + -6) + 12 (-4 + 6x) = 4(x + -6) + 12 Reorder the terms: -4 + 6x = 4(-6 + x) + 12 -4 + 6x = (-6 * 4 + x * 4) + 12 -4 + 6x = (-24 + 4x) + 12 Reorder the terms: -4 + 6x = -24 + 12 + 4x Combine like terms: -24 + 12 = -12 -4 + 6x = -12 + 4x Solving -4 + 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. -4 + 6x + -4x = -12 + 4x + -4x Combine like terms: 6x + -4x = 2x -4 + 2x = -12 + 4x + -4x Combine like terms: 4x + -4x = 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 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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