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Simplifying 5(10x + -7) + 9 = 2x + 11 Reorder the terms: 5(-7 + 10x) + 9 = 2x + 11 (-7 * 5 + 10x * 5) + 9 = 2x + 11 (-35 + 50x) + 9 = 2x + 11 Reorder the terms: -35 + 9 + 50x = 2x + 11 Combine like terms: -35 + 9 = -26 -26 + 50x = 2x + 11 Reorder the terms: -26 + 50x = 11 + 2x Solving -26 + 50x = 11 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -26 + 50x + -2x = 11 + 2x + -2x Combine like terms: 50x + -2x = 48x -26 + 48x = 11 + 2x + -2x Combine like terms: 2x + -2x = 0 -26 + 48x = 11 + 0 -26 + 48x = 11 Add '26' to each side of the equation. -26 + 26 + 48x = 11 + 26 Combine like terms: -26 + 26 = 0 0 + 48x = 11 + 26 48x = 11 + 26 Combine like terms: 11 + 26 = 37 48x = 37 Divide each side by '48'. x = 0.7708333333 Simplifying x = 0.7708333333
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