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Simplifying 7(x + -5) = 3x + 9 Reorder the terms: 7(-5 + x) = 3x + 9 (-5 * 7 + x * 7) = 3x + 9 (-35 + 7x) = 3x + 9 Reorder the terms: -35 + 7x = 9 + 3x Solving -35 + 7x = 9 + 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. -35 + 7x + -3x = 9 + 3x + -3x Combine like terms: 7x + -3x = 4x -35 + 4x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 -35 + 4x = 9 + 0 -35 + 4x = 9 Add '35' to each side of the equation. -35 + 35 + 4x = 9 + 35 Combine like terms: -35 + 35 = 0 0 + 4x = 9 + 35 4x = 9 + 35 Combine like terms: 9 + 35 = 44 4x = 44 Divide each side by '4'. x = 11 Simplifying x = 11
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