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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 = 2x 2x = 4x + -4x Combine like terms: 4x + -4x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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