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Simplifying 7(2x + -3) + 2(3x + -1) = 17 Reorder the terms: 7(-3 + 2x) + 2(3x + -1) = 17 (-3 * 7 + 2x * 7) + 2(3x + -1) = 17 (-21 + 14x) + 2(3x + -1) = 17 Reorder the terms: -21 + 14x + 2(-1 + 3x) = 17 -21 + 14x + (-1 * 2 + 3x * 2) = 17 -21 + 14x + (-2 + 6x) = 17 Reorder the terms: -21 + -2 + 14x + 6x = 17 Combine like terms: -21 + -2 = -23 -23 + 14x + 6x = 17 Combine like terms: 14x + 6x = 20x -23 + 20x = 17 Solving -23 + 20x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 20x = 17 + 23 Combine like terms: -23 + 23 = 0 0 + 20x = 17 + 23 20x = 17 + 23 Combine like terms: 17 + 23 = 40 20x = 40 Divide each side by '20'. x = 2 Simplifying x = 2
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