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Simplifying 30 = 5(5x + 1) + 2(7x + -7) Reorder the terms: 30 = 5(1 + 5x) + 2(7x + -7) 30 = (1 * 5 + 5x * 5) + 2(7x + -7) 30 = (5 + 25x) + 2(7x + -7) Reorder the terms: 30 = 5 + 25x + 2(-7 + 7x) 30 = 5 + 25x + (-7 * 2 + 7x * 2) 30 = 5 + 25x + (-14 + 14x) Reorder the terms: 30 = 5 + -14 + 25x + 14x Combine like terms: 5 + -14 = -9 30 = -9 + 25x + 14x Combine like terms: 25x + 14x = 39x 30 = -9 + 39x Solving 30 = -9 + 39x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-39x' to each side of the equation. 30 + -39x = -9 + 39x + -39x Combine like terms: 39x + -39x = 0 30 + -39x = -9 + 0 30 + -39x = -9 Add '-30' to each side of the equation. 30 + -30 + -39x = -9 + -30 Combine like terms: 30 + -30 = 0 0 + -39x = -9 + -30 -39x = -9 + -30 Combine like terms: -9 + -30 = -39 -39x = -39 Divide each side by '-39'. x = 1 Simplifying x = 1
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