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Simplifying 7(7x + 5) = 35 + -6x Reorder the terms: 7(5 + 7x) = 35 + -6x (5 * 7 + 7x * 7) = 35 + -6x (35 + 49x) = 35 + -6x Add '-35' to each side of the equation. 35 + -35 + 49x = 35 + -35 + -6x Combine like terms: 35 + -35 = 0 0 + 49x = 35 + -35 + -6x 49x = 35 + -35 + -6x Combine like terms: 35 + -35 = 0 49x = 0 + -6x 49x = -6x Solving 49x = -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. 49x + 6x = -6x + 6x Combine like terms: 49x + 6x = 55x 55x = -6x + 6x Combine like terms: -6x + 6x = 0 55x = 0 Divide each side by '55'. x = 0 Simplifying x = 0
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