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Simplifying 5(7 + x) = 9(11 + x) (7 * 5 + x * 5) = 9(11 + x) (35 + 5x) = 9(11 + x) 35 + 5x = (11 * 9 + x * 9) 35 + 5x = (99 + 9x) Solving 35 + 5x = 99 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 35 + 5x + -9x = 99 + 9x + -9x Combine like terms: 5x + -9x = -4x 35 + -4x = 99 + 9x + -9x Combine like terms: 9x + -9x = 0 35 + -4x = 99 + 0 35 + -4x = 99 Add '-35' to each side of the equation. 35 + -35 + -4x = 99 + -35 Combine like terms: 35 + -35 = 0 0 + -4x = 99 + -35 -4x = 99 + -35 Combine like terms: 99 + -35 = 64 -4x = 64 Divide each side by '-4'. x = -16 Simplifying x = -16
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