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Simplifying 3(x + -4) = -2(3x + -3) Reorder the terms: 3(-4 + x) = -2(3x + -3) (-4 * 3 + x * 3) = -2(3x + -3) (-12 + 3x) = -2(3x + -3) Reorder the terms: -12 + 3x = -2(-3 + 3x) -12 + 3x = (-3 * -2 + 3x * -2) -12 + 3x = (6 + -6x) Solving -12 + 3x = 6 + -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. -12 + 3x + 6x = 6 + -6x + 6x Combine like terms: 3x + 6x = 9x -12 + 9x = 6 + -6x + 6x Combine like terms: -6x + 6x = 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 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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