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Simplifying 5x + 10 + -7(11x + 2) = 10x + 9(3x + 3) Reorder the terms: 5x + 10 + -7(2 + 11x) = 10x + 9(3x + 3) 5x + 10 + (2 * -7 + 11x * -7) = 10x + 9(3x + 3) 5x + 10 + (-14 + -77x) = 10x + 9(3x + 3) Reorder the terms: 10 + -14 + 5x + -77x = 10x + 9(3x + 3) Combine like terms: 10 + -14 = -4 -4 + 5x + -77x = 10x + 9(3x + 3) Combine like terms: 5x + -77x = -72x -4 + -72x = 10x + 9(3x + 3) Reorder the terms: -4 + -72x = 10x + 9(3 + 3x) -4 + -72x = 10x + (3 * 9 + 3x * 9) -4 + -72x = 10x + (27 + 27x) Reorder the terms: -4 + -72x = 27 + 10x + 27x Combine like terms: 10x + 27x = 37x -4 + -72x = 27 + 37x Solving -4 + -72x = 27 + 37x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-37x' to each side of the equation. -4 + -72x + -37x = 27 + 37x + -37x Combine like terms: -72x + -37x = -109x -4 + -109x = 27 + 37x + -37x Combine like terms: 37x + -37x = 0 -4 + -109x = 27 + 0 -4 + -109x = 27 Add '4' to each side of the equation. -4 + 4 + -109x = 27 + 4 Combine like terms: -4 + 4 = 0 0 + -109x = 27 + 4 -109x = 27 + 4 Combine like terms: 27 + 4 = 31 -109x = 31 Divide each side by '-109'. x = -0.2844036697 Simplifying x = -0.2844036697
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