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Simplifying 7(3x + -5) = 4(x + 5) + -9 Reorder the terms: 7(-5 + 3x) = 4(x + 5) + -9 (-5 * 7 + 3x * 7) = 4(x + 5) + -9 (-35 + 21x) = 4(x + 5) + -9 Reorder the terms: -35 + 21x = 4(5 + x) + -9 -35 + 21x = (5 * 4 + x * 4) + -9 -35 + 21x = (20 + 4x) + -9 Reorder the terms: -35 + 21x = 20 + -9 + 4x Combine like terms: 20 + -9 = 11 -35 + 21x = 11 + 4x Solving -35 + 21x = 11 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -35 + 21x + -4x = 11 + 4x + -4x Combine like terms: 21x + -4x = 17x -35 + 17x = 11 + 4x + -4x Combine like terms: 4x + -4x = 0 -35 + 17x = 11 + 0 -35 + 17x = 11 Add '35' to each side of the equation. -35 + 35 + 17x = 11 + 35 Combine like terms: -35 + 35 = 0 0 + 17x = 11 + 35 17x = 11 + 35 Combine like terms: 11 + 35 = 46 17x = 46 Divide each side by '17'. x = 2.705882353 Simplifying x = 2.705882353
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