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Simplifying 34 = 3(4x + 1) + -5 Reorder the terms: 34 = 3(1 + 4x) + -5 34 = (1 * 3 + 4x * 3) + -5 34 = (3 + 12x) + -5 Reorder the terms: 34 = 3 + -5 + 12x Combine like terms: 3 + -5 = -2 34 = -2 + 12x Solving 34 = -2 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 34 + -12x = -2 + 12x + -12x Combine like terms: 12x + -12x = 0 34 + -12x = -2 + 0 34 + -12x = -2 Add '-34' to each side of the equation. 34 + -34 + -12x = -2 + -34 Combine like terms: 34 + -34 = 0 0 + -12x = -2 + -34 -12x = -2 + -34 Combine like terms: -2 + -34 = -36 -12x = -36 Divide each side by '-12'. x = 3 Simplifying x = 3
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