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Simplifying 6(x + -2) = -3(2x + 4) Reorder the terms: 6(-2 + x) = -3(2x + 4) (-2 * 6 + x * 6) = -3(2x + 4) (-12 + 6x) = -3(2x + 4) Reorder the terms: -12 + 6x = -3(4 + 2x) -12 + 6x = (4 * -3 + 2x * -3) -12 + 6x = (-12 + -6x) Add '12' to each side of the equation. -12 + 12 + 6x = -12 + 12 + -6x Combine like terms: -12 + 12 = 0 0 + 6x = -12 + 12 + -6x 6x = -12 + 12 + -6x Combine like terms: -12 + 12 = 0 6x = 0 + -6x 6x = -6x Solving 6x = -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 6x + 6x = -6x + 6x Combine like terms: 6x + 6x = 12x 12x = -6x + 6x Combine like terms: -6x + 6x = 0 12x = 0 Divide each side by '12'. x = 0 Simplifying x = 0
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