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Simplifying 3(3x + 4) + 1 = 2x + 34 Reorder the terms: 3(4 + 3x) + 1 = 2x + 34 (4 * 3 + 3x * 3) + 1 = 2x + 34 (12 + 9x) + 1 = 2x + 34 Reorder the terms: 12 + 1 + 9x = 2x + 34 Combine like terms: 12 + 1 = 13 13 + 9x = 2x + 34 Reorder the terms: 13 + 9x = 34 + 2x Solving 13 + 9x = 34 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 13 + 9x + -2x = 34 + 2x + -2x Combine like terms: 9x + -2x = 7x 13 + 7x = 34 + 2x + -2x Combine like terms: 2x + -2x = 0 13 + 7x = 34 + 0 13 + 7x = 34 Add '-13' to each side of the equation. 13 + -13 + 7x = 34 + -13 Combine like terms: 13 + -13 = 0 0 + 7x = 34 + -13 7x = 34 + -13 Combine like terms: 34 + -13 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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