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Simplifying 13x + -9(3 + -2x) = 3(10x + -9) + 1 13x + (3 * -9 + -2x * -9) = 3(10x + -9) + 1 13x + (-27 + 18x) = 3(10x + -9) + 1 Reorder the terms: -27 + 13x + 18x = 3(10x + -9) + 1 Combine like terms: 13x + 18x = 31x -27 + 31x = 3(10x + -9) + 1 Reorder the terms: -27 + 31x = 3(-9 + 10x) + 1 -27 + 31x = (-9 * 3 + 10x * 3) + 1 -27 + 31x = (-27 + 30x) + 1 Reorder the terms: -27 + 31x = -27 + 1 + 30x Combine like terms: -27 + 1 = -26 -27 + 31x = -26 + 30x Solving -27 + 31x = -26 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -27 + 31x + -30x = -26 + 30x + -30x Combine like terms: 31x + -30x = 1x -27 + 1x = -26 + 30x + -30x Combine like terms: 30x + -30x = 0 -27 + 1x = -26 + 0 -27 + 1x = -26 Add '27' to each side of the equation. -27 + 27 + 1x = -26 + 27 Combine like terms: -27 + 27 = 0 0 + 1x = -26 + 27 1x = -26 + 27 Combine like terms: -26 + 27 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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