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Simplifying 3(3x + -4) = 9x + 12 + -3x Reorder the terms: 3(-4 + 3x) = 9x + 12 + -3x (-4 * 3 + 3x * 3) = 9x + 12 + -3x (-12 + 9x) = 9x + 12 + -3x Reorder the terms: -12 + 9x = 12 + 9x + -3x Combine like terms: 9x + -3x = 6x -12 + 9x = 12 + 6x Solving -12 + 9x = 12 + 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 + 9x + -6x = 12 + 6x + -6x Combine like terms: 9x + -6x = 3x -12 + 3x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + 3x = 12 + 0 -12 + 3x = 12 Add '12' to each side of the equation. -12 + 12 + 3x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = 12 + 12 3x = 12 + 12 Combine like terms: 12 + 12 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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