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Simplifying 13x + (12x + -2) * 5 = 4(3x + 2) + -9x Reorder the terms: 13x + (-2 + 12x) * 5 = 4(3x + 2) + -9x Reorder the terms for easier multiplication: 13x + 5(-2 + 12x) = 4(3x + 2) + -9x 13x + (-2 * 5 + 12x * 5) = 4(3x + 2) + -9x 13x + (-10 + 60x) = 4(3x + 2) + -9x Reorder the terms: -10 + 13x + 60x = 4(3x + 2) + -9x Combine like terms: 13x + 60x = 73x -10 + 73x = 4(3x + 2) + -9x Reorder the terms: -10 + 73x = 4(2 + 3x) + -9x -10 + 73x = (2 * 4 + 3x * 4) + -9x -10 + 73x = (8 + 12x) + -9x Combine like terms: 12x + -9x = 3x -10 + 73x = 8 + 3x Solving -10 + 73x = 8 + 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. -10 + 73x + -3x = 8 + 3x + -3x Combine like terms: 73x + -3x = 70x -10 + 70x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + 70x = 8 + 0 -10 + 70x = 8 Add '10' to each side of the equation. -10 + 10 + 70x = 8 + 10 Combine like terms: -10 + 10 = 0 0 + 70x = 8 + 10 70x = 8 + 10 Combine like terms: 8 + 10 = 18 70x = 18 Divide each side by '70'. x = 0.2571428571 Simplifying x = 0.2571428571
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