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Simplifying 3x + 2 + 5(4x + -3) = 12 Reorder the terms: 3x + 2 + 5(-3 + 4x) = 12 3x + 2 + (-3 * 5 + 4x * 5) = 12 3x + 2 + (-15 + 20x) = 12 Reorder the terms: 2 + -15 + 3x + 20x = 12 Combine like terms: 2 + -15 = -13 -13 + 3x + 20x = 12 Combine like terms: 3x + 20x = 23x -13 + 23x = 12 Solving -13 + 23x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 23x = 12 + 13 Combine like terms: -13 + 13 = 0 0 + 23x = 12 + 13 23x = 12 + 13 Combine like terms: 12 + 13 = 25 23x = 25 Divide each side by '23'. x = 1.086956522 Simplifying x = 1.086956522
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