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Simplifying 2(3x + -14) = 3x + 17 Reorder the terms: 2(-14 + 3x) = 3x + 17 (-14 * 2 + 3x * 2) = 3x + 17 (-28 + 6x) = 3x + 17 Reorder the terms: -28 + 6x = 17 + 3x Solving -28 + 6x = 17 + 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. -28 + 6x + -3x = 17 + 3x + -3x Combine like terms: 6x + -3x = 3x -28 + 3x = 17 + 3x + -3x Combine like terms: 3x + -3x = 0 -28 + 3x = 17 + 0 -28 + 3x = 17 Add '28' to each side of the equation. -28 + 28 + 3x = 17 + 28 Combine like terms: -28 + 28 = 0 0 + 3x = 17 + 28 3x = 17 + 28 Combine like terms: 17 + 28 = 45 3x = 45 Divide each side by '3'. x = 15 Simplifying x = 15
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