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Simplifying 3(4x + -5) = 11(3x + -9) Reorder the terms: 3(-5 + 4x) = 11(3x + -9) (-5 * 3 + 4x * 3) = 11(3x + -9) (-15 + 12x) = 11(3x + -9) Reorder the terms: -15 + 12x = 11(-9 + 3x) -15 + 12x = (-9 * 11 + 3x * 11) -15 + 12x = (-99 + 33x) Solving -15 + 12x = -99 + 33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33x' to each side of the equation. -15 + 12x + -33x = -99 + 33x + -33x Combine like terms: 12x + -33x = -21x -15 + -21x = -99 + 33x + -33x Combine like terms: 33x + -33x = 0 -15 + -21x = -99 + 0 -15 + -21x = -99 Add '15' to each side of the equation. -15 + 15 + -21x = -99 + 15 Combine like terms: -15 + 15 = 0 0 + -21x = -99 + 15 -21x = -99 + 15 Combine like terms: -99 + 15 = -84 -21x = -84 Divide each side by '-21'. x = 4 Simplifying x = 4
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