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Simplifying 3(x + -4) = 9x + 3x + 6 Reorder the terms: 3(-4 + x) = 9x + 3x + 6 (-4 * 3 + x * 3) = 9x + 3x + 6 (-12 + 3x) = 9x + 3x + 6 Reorder the terms: -12 + 3x = 6 + 9x + 3x Combine like terms: 9x + 3x = 12x -12 + 3x = 6 + 12x Solving -12 + 3x = 6 + 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 + 3x + -12x = 6 + 12x + -12x Combine like terms: 3x + -12x = -9x -12 + -9x = 6 + 12x + -12x Combine like terms: 12x + -12x = 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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