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Simplifying 6(x + -2) = 3(3x + -4) Reorder the terms: 6(-2 + x) = 3(3x + -4) (-2 * 6 + x * 6) = 3(3x + -4) (-12 + 6x) = 3(3x + -4) Reorder the terms: -12 + 6x = 3(-4 + 3x) -12 + 6x = (-4 * 3 + 3x * 3) -12 + 6x = (-12 + 9x) Add '12' to each side of the equation. -12 + 12 + 6x = -12 + 12 + 9x Combine like terms: -12 + 12 = 0 0 + 6x = -12 + 12 + 9x 6x = -12 + 12 + 9x Combine like terms: -12 + 12 = 0 6x = 0 + 9x 6x = 9x Solving 6x = 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 6x + -9x = 9x + -9x Combine like terms: 6x + -9x = -3x -3x = 9x + -9x Combine like terms: 9x + -9x = 0 -3x = 0 Divide each side by '-3'. x = 0 Simplifying x = 0
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