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Simplifying 30x + -3(3x + 1) = 2(7x + 9) Reorder the terms: 30x + -3(1 + 3x) = 2(7x + 9) 30x + (1 * -3 + 3x * -3) = 2(7x + 9) 30x + (-3 + -9x) = 2(7x + 9) Reorder the terms: -3 + 30x + -9x = 2(7x + 9) Combine like terms: 30x + -9x = 21x -3 + 21x = 2(7x + 9) Reorder the terms: -3 + 21x = 2(9 + 7x) -3 + 21x = (9 * 2 + 7x * 2) -3 + 21x = (18 + 14x) Solving -3 + 21x = 18 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -3 + 21x + -14x = 18 + 14x + -14x Combine like terms: 21x + -14x = 7x -3 + 7x = 18 + 14x + -14x Combine like terms: 14x + -14x = 0 -3 + 7x = 18 + 0 -3 + 7x = 18 Add '3' to each side of the equation. -3 + 3 + 7x = 18 + 3 Combine like terms: -3 + 3 = 0 0 + 7x = 18 + 3 7x = 18 + 3 Combine like terms: 18 + 3 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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