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Simplifying -2(3x + -12) = 4(x + 6) Reorder the terms: -2(-12 + 3x) = 4(x + 6) (-12 * -2 + 3x * -2) = 4(x + 6) (24 + -6x) = 4(x + 6) Reorder the terms: 24 + -6x = 4(6 + x) 24 + -6x = (6 * 4 + x * 4) 24 + -6x = (24 + 4x) Add '-24' to each side of the equation. 24 + -24 + -6x = 24 + -24 + 4x Combine like terms: 24 + -24 = 0 0 + -6x = 24 + -24 + 4x -6x = 24 + -24 + 4x Combine like terms: 24 + -24 = 0 -6x = 0 + 4x -6x = 4x Solving -6x = 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. -6x + -4x = 4x + -4x Combine like terms: -6x + -4x = -10x -10x = 4x + -4x Combine like terms: 4x + -4x = 0 -10x = 0 Divide each side by '-10'. x = 0.0 Simplifying x = 0.0
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