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Simplifying 3(x + 7) + -5(4x + -5) = 11 Reorder the terms: 3(7 + x) + -5(4x + -5) = 11 (7 * 3 + x * 3) + -5(4x + -5) = 11 (21 + 3x) + -5(4x + -5) = 11 Reorder the terms: 21 + 3x + -5(-5 + 4x) = 11 21 + 3x + (-5 * -5 + 4x * -5) = 11 21 + 3x + (25 + -20x) = 11 Reorder the terms: 21 + 25 + 3x + -20x = 11 Combine like terms: 21 + 25 = 46 46 + 3x + -20x = 11 Combine like terms: 3x + -20x = -17x 46 + -17x = 11 Solving 46 + -17x = 11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + -17x = 11 + -46 Combine like terms: 46 + -46 = 0 0 + -17x = 11 + -46 -17x = 11 + -46 Combine like terms: 11 + -46 = -35 -17x = -35 Divide each side by '-17'. x = 2.058823529 Simplifying x = 2.058823529
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