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Simplifying 2 + 7(x + -5) = 9 + -7(x + -5) Reorder the terms: 2 + 7(-5 + x) = 9 + -7(x + -5) 2 + (-5 * 7 + x * 7) = 9 + -7(x + -5) 2 + (-35 + 7x) = 9 + -7(x + -5) Combine like terms: 2 + -35 = -33 -33 + 7x = 9 + -7(x + -5) Reorder the terms: -33 + 7x = 9 + -7(-5 + x) -33 + 7x = 9 + (-5 * -7 + x * -7) -33 + 7x = 9 + (35 + -7x) Combine like terms: 9 + 35 = 44 -33 + 7x = 44 + -7x Solving -33 + 7x = 44 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -33 + 7x + 7x = 44 + -7x + 7x Combine like terms: 7x + 7x = 14x -33 + 14x = 44 + -7x + 7x Combine like terms: -7x + 7x = 0 -33 + 14x = 44 + 0 -33 + 14x = 44 Add '33' to each side of the equation. -33 + 33 + 14x = 44 + 33 Combine like terms: -33 + 33 = 0 0 + 14x = 44 + 33 14x = 44 + 33 Combine like terms: 44 + 33 = 77 14x = 77 Divide each side by '14'. x = 5.5 Simplifying x = 5.5
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