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Simplifying 11(5x + -3) = 9(5x + -7) Reorder the terms: 11(-3 + 5x) = 9(5x + -7) (-3 * 11 + 5x * 11) = 9(5x + -7) (-33 + 55x) = 9(5x + -7) Reorder the terms: -33 + 55x = 9(-7 + 5x) -33 + 55x = (-7 * 9 + 5x * 9) -33 + 55x = (-63 + 45x) Solving -33 + 55x = -63 + 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. -33 + 55x + -45x = -63 + 45x + -45x Combine like terms: 55x + -45x = 10x -33 + 10x = -63 + 45x + -45x Combine like terms: 45x + -45x = 0 -33 + 10x = -63 + 0 -33 + 10x = -63 Add '33' to each side of the equation. -33 + 33 + 10x = -63 + 33 Combine like terms: -33 + 33 = 0 0 + 10x = -63 + 33 10x = -63 + 33 Combine like terms: -63 + 33 = -30 10x = -30 Divide each side by '10'. x = -3 Simplifying x = -3
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