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Simplifying 3(3x + -4) = 6(2x + -6) Reorder the terms: 3(-4 + 3x) = 6(2x + -6) (-4 * 3 + 3x * 3) = 6(2x + -6) (-12 + 9x) = 6(2x + -6) Reorder the terms: -12 + 9x = 6(-6 + 2x) -12 + 9x = (-6 * 6 + 2x * 6) -12 + 9x = (-36 + 12x) Solving -12 + 9x = -36 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -12 + 9x + -12x = -36 + 12x + -12x Combine like terms: 9x + -12x = -3x -12 + -3x = -36 + 12x + -12x Combine like terms: 12x + -12x = 0 -12 + -3x = -36 + 0 -12 + -3x = -36 Add '12' to each side of the equation. -12 + 12 + -3x = -36 + 12 Combine like terms: -12 + 12 = 0 0 + -3x = -36 + 12 -3x = -36 + 12 Combine like terms: -36 + 12 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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