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Simplifying 3x + 2 + 5(4x + -3) = 12x Reorder the terms: 3x + 2 + 5(-3 + 4x) = 12x 3x + 2 + (-3 * 5 + 4x * 5) = 12x 3x + 2 + (-15 + 20x) = 12x Reorder the terms: 2 + -15 + 3x + 20x = 12x Combine like terms: 2 + -15 = -13 -13 + 3x + 20x = 12x Combine like terms: 3x + 20x = 23x -13 + 23x = 12x Solving -13 + 23x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -13 + 23x + -12x = 12x + -12x Combine like terms: 23x + -12x = 11x -13 + 11x = 12x + -12x Combine like terms: 12x + -12x = 0 -13 + 11x = 0 Add '13' to each side of the equation. -13 + 13 + 11x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 11x = 0 + 13 11x = 0 + 13 Combine like terms: 0 + 13 = 13 11x = 13 Divide each side by '11'. x = 1.181818182 Simplifying x = 1.181818182
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