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Simplifying 3(2x + -4) = 6 + -3(x + 4) Reorder the terms: 3(-4 + 2x) = 6 + -3(x + 4) (-4 * 3 + 2x * 3) = 6 + -3(x + 4) (-12 + 6x) = 6 + -3(x + 4) Reorder the terms: -12 + 6x = 6 + -3(4 + x) -12 + 6x = 6 + (4 * -3 + x * -3) -12 + 6x = 6 + (-12 + -3x) Combine like terms: 6 + -12 = -6 -12 + 6x = -6 + -3x Solving -12 + 6x = -6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -12 + 6x + 3x = -6 + -3x + 3x Combine like terms: 6x + 3x = 9x -12 + 9x = -6 + -3x + 3x Combine like terms: -3x + 3x = 0 -12 + 9x = -6 + 0 -12 + 9x = -6 Add '12' to each side of the equation. -12 + 12 + 9x = -6 + 12 Combine like terms: -12 + 12 = 0 0 + 9x = -6 + 12 9x = -6 + 12 Combine like terms: -6 + 12 = 6 9x = 6 Divide each side by '9'. x = 0.6666666667 Simplifying x = 0.6666666667
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