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Simplifying 3x + 34 = 5(3 + 5x) + -3 Reorder the terms: 34 + 3x = 5(3 + 5x) + -3 34 + 3x = (3 * 5 + 5x * 5) + -3 34 + 3x = (15 + 25x) + -3 Reorder the terms: 34 + 3x = 15 + -3 + 25x Combine like terms: 15 + -3 = 12 34 + 3x = 12 + 25x Solving 34 + 3x = 12 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. 34 + 3x + -25x = 12 + 25x + -25x Combine like terms: 3x + -25x = -22x 34 + -22x = 12 + 25x + -25x Combine like terms: 25x + -25x = 0 34 + -22x = 12 + 0 34 + -22x = 12 Add '-34' to each side of the equation. 34 + -34 + -22x = 12 + -34 Combine like terms: 34 + -34 = 0 0 + -22x = 12 + -34 -22x = 12 + -34 Combine like terms: 12 + -34 = -22 -22x = -22 Divide each side by '-22'. x = 1 Simplifying x = 1
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