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Simplifying 3(2x + -4) = -3(3x + 2) Reorder the terms: 3(-4 + 2x) = -3(3x + 2) (-4 * 3 + 2x * 3) = -3(3x + 2) (-12 + 6x) = -3(3x + 2) Reorder the terms: -12 + 6x = -3(2 + 3x) -12 + 6x = (2 * -3 + 3x * -3) -12 + 6x = (-6 + -9x) Solving -12 + 6x = -6 + -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. -12 + 6x + 9x = -6 + -9x + 9x Combine like terms: 6x + 9x = 15x -12 + 15x = -6 + -9x + 9x Combine like terms: -9x + 9x = 0 -12 + 15x = -6 + 0 -12 + 15x = -6 Add '12' to each side of the equation. -12 + 12 + 15x = -6 + 12 Combine like terms: -12 + 12 = 0 0 + 15x = -6 + 12 15x = -6 + 12 Combine like terms: -6 + 12 = 6 15x = 6 Divide each side by '15'. x = 0.4 Simplifying x = 0.4
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