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Simplifying 2x + 30 = 3(3x + 1) Reorder the terms: 30 + 2x = 3(3x + 1) Reorder the terms: 30 + 2x = 3(1 + 3x) 30 + 2x = (1 * 3 + 3x * 3) 30 + 2x = (3 + 9x) Solving 30 + 2x = 3 + 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. 30 + 2x + -9x = 3 + 9x + -9x Combine like terms: 2x + -9x = -7x 30 + -7x = 3 + 9x + -9x Combine like terms: 9x + -9x = 0 30 + -7x = 3 + 0 30 + -7x = 3 Add '-30' to each side of the equation. 30 + -30 + -7x = 3 + -30 Combine like terms: 30 + -30 = 0 0 + -7x = 3 + -30 -7x = 3 + -30 Combine like terms: 3 + -30 = -27 -7x = -27 Divide each side by '-7'. x = 3.857142857 Simplifying x = 3.857142857
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