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Simplifying 3(2x + -5) + 34 = 3x + 25 Reorder the terms: 3(-5 + 2x) + 34 = 3x + 25 (-5 * 3 + 2x * 3) + 34 = 3x + 25 (-15 + 6x) + 34 = 3x + 25 Reorder the terms: -15 + 34 + 6x = 3x + 25 Combine like terms: -15 + 34 = 19 19 + 6x = 3x + 25 Reorder the terms: 19 + 6x = 25 + 3x Solving 19 + 6x = 25 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 19 + 6x + -3x = 25 + 3x + -3x Combine like terms: 6x + -3x = 3x 19 + 3x = 25 + 3x + -3x Combine like terms: 3x + -3x = 0 19 + 3x = 25 + 0 19 + 3x = 25 Add '-19' to each side of the equation. 19 + -19 + 3x = 25 + -19 Combine like terms: 19 + -19 = 0 0 + 3x = 25 + -19 3x = 25 + -19 Combine like terms: 25 + -19 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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