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Simplifying 9(5x + -3) = 11(5x + -7) Reorder the terms: 9(-3 + 5x) = 11(5x + -7) (-3 * 9 + 5x * 9) = 11(5x + -7) (-27 + 45x) = 11(5x + -7) Reorder the terms: -27 + 45x = 11(-7 + 5x) -27 + 45x = (-7 * 11 + 5x * 11) -27 + 45x = (-77 + 55x) Solving -27 + 45x = -77 + 55x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-55x' to each side of the equation. -27 + 45x + -55x = -77 + 55x + -55x Combine like terms: 45x + -55x = -10x -27 + -10x = -77 + 55x + -55x Combine like terms: 55x + -55x = 0 -27 + -10x = -77 + 0 -27 + -10x = -77 Add '27' to each side of the equation. -27 + 27 + -10x = -77 + 27 Combine like terms: -27 + 27 = 0 0 + -10x = -77 + 27 -10x = -77 + 27 Combine like terms: -77 + 27 = -50 -10x = -50 Divide each side by '-10'. x = 5 Simplifying x = 5
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