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Simplifying 3(x + -3) = 4(3x + 9) Reorder the terms: 3(-3 + x) = 4(3x + 9) (-3 * 3 + x * 3) = 4(3x + 9) (-9 + 3x) = 4(3x + 9) Reorder the terms: -9 + 3x = 4(9 + 3x) -9 + 3x = (9 * 4 + 3x * 4) -9 + 3x = (36 + 12x) Solving -9 + 3x = 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. -9 + 3x + -12x = 36 + 12x + -12x Combine like terms: 3x + -12x = -9x -9 + -9x = 36 + 12x + -12x Combine like terms: 12x + -12x = 0 -9 + -9x = 36 + 0 -9 + -9x = 36 Add '9' to each side of the equation. -9 + 9 + -9x = 36 + 9 Combine like terms: -9 + 9 = 0 0 + -9x = 36 + 9 -9x = 36 + 9 Combine like terms: 36 + 9 = 45 -9x = 45 Divide each side by '-9'. x = -5 Simplifying x = -5
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