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Simplifying 3x + 4(3x + 5) = 6x + 17 Reorder the terms: 3x + 4(5 + 3x) = 6x + 17 3x + (5 * 4 + 3x * 4) = 6x + 17 3x + (20 + 12x) = 6x + 17 Reorder the terms: 20 + 3x + 12x = 6x + 17 Combine like terms: 3x + 12x = 15x 20 + 15x = 6x + 17 Reorder the terms: 20 + 15x = 17 + 6x Solving 20 + 15x = 17 + 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. 20 + 15x + -6x = 17 + 6x + -6x Combine like terms: 15x + -6x = 9x 20 + 9x = 17 + 6x + -6x Combine like terms: 6x + -6x = 0 20 + 9x = 17 + 0 20 + 9x = 17 Add '-20' to each side of the equation. 20 + -20 + 9x = 17 + -20 Combine like terms: 20 + -20 = 0 0 + 9x = 17 + -20 9x = 17 + -20 Combine like terms: 17 + -20 = -3 9x = -3 Divide each side by '9'. x = -0.3333333333 Simplifying x = -0.3333333333
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