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Simplifying 5(2x + -9) = 3x + 11 Reorder the terms: 5(-9 + 2x) = 3x + 11 (-9 * 5 + 2x * 5) = 3x + 11 (-45 + 10x) = 3x + 11 Reorder the terms: -45 + 10x = 11 + 3x Solving -45 + 10x = 11 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -45 + 10x + -3x = 11 + 3x + -3x Combine like terms: 10x + -3x = 7x -45 + 7x = 11 + 3x + -3x Combine like terms: 3x + -3x = 0 -45 + 7x = 11 + 0 -45 + 7x = 11 Add '45' to each side of the equation. -45 + 45 + 7x = 11 + 45 Combine like terms: -45 + 45 = 0 0 + 7x = 11 + 45 7x = 11 + 45 Combine like terms: 11 + 45 = 56 7x = 56 Divide each side by '7'. x = 8 Simplifying x = 8
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