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Simplifying 34 + 3(x + 1) = 20x + 3 Reorder the terms: 34 + 3(1 + x) = 20x + 3 34 + (1 * 3 + x * 3) = 20x + 3 34 + (3 + 3x) = 20x + 3 Combine like terms: 34 + 3 = 37 37 + 3x = 20x + 3 Reorder the terms: 37 + 3x = 3 + 20x Solving 37 + 3x = 3 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 37 + 3x + -20x = 3 + 20x + -20x Combine like terms: 3x + -20x = -17x 37 + -17x = 3 + 20x + -20x Combine like terms: 20x + -20x = 0 37 + -17x = 3 + 0 37 + -17x = 3 Add '-37' to each side of the equation. 37 + -37 + -17x = 3 + -37 Combine like terms: 37 + -37 = 0 0 + -17x = 3 + -37 -17x = 3 + -37 Combine like terms: 3 + -37 = -34 -17x = -34 Divide each side by '-17'. x = 2 Simplifying x = 2
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