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Simplifying 11x + -9 = (7.5x + -19.5) + (4.5x + -1.5) Reorder the terms: -9 + 11x = (7.5x + -19.5) + (4.5x + -1.5) Reorder the terms: -9 + 11x = (-19.5 + 7.5x) + (4.5x + -1.5) Remove parenthesis around (-19.5 + 7.5x) -9 + 11x = -19.5 + 7.5x + (4.5x + -1.5) Reorder the terms: -9 + 11x = -19.5 + 7.5x + (-1.5 + 4.5x) Remove parenthesis around (-1.5 + 4.5x) -9 + 11x = -19.5 + 7.5x + -1.5 + 4.5x Reorder the terms: -9 + 11x = -19.5 + -1.5 + 7.5x + 4.5x Combine like terms: -19.5 + -1.5 = -21 -9 + 11x = -21 + 7.5x + 4.5x Combine like terms: 7.5x + 4.5x = 12x -9 + 11x = -21 + 12x Solving -9 + 11x = -21 + 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 + 11x + -12x = -21 + 12x + -12x Combine like terms: 11x + -12x = -1x -9 + -1x = -21 + 12x + -12x Combine like terms: 12x + -12x = 0 -9 + -1x = -21 + 0 -9 + -1x = -21 Add '9' to each side of the equation. -9 + 9 + -1x = -21 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = -21 + 9 -1x = -21 + 9 Combine like terms: -21 + 9 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12
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