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Simplifying 7(5 + x) = 6(9 + x) (5 * 7 + x * 7) = 6(9 + x) (35 + 7x) = 6(9 + x) 35 + 7x = (9 * 6 + x * 6) 35 + 7x = (54 + 6x) Solving 35 + 7x = 54 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 35 + 7x + -6x = 54 + 6x + -6x Combine like terms: 7x + -6x = 1x 35 + 1x = 54 + 6x + -6x Combine like terms: 6x + -6x = 0 35 + 1x = 54 + 0 35 + 1x = 54 Add '-35' to each side of the equation. 35 + -35 + 1x = 54 + -35 Combine like terms: 35 + -35 = 0 0 + 1x = 54 + -35 1x = 54 + -35 Combine like terms: 54 + -35 = 19 1x = 19 Divide each side by '1'. x = 19 Simplifying x = 19
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