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Simplifying 3(4 + -2x) + 8 = 5x + -3 (4 * 3 + -2x * 3) + 8 = 5x + -3 (12 + -6x) + 8 = 5x + -3 Reorder the terms: 12 + 8 + -6x = 5x + -3 Combine like terms: 12 + 8 = 20 20 + -6x = 5x + -3 Reorder the terms: 20 + -6x = -3 + 5x Solving 20 + -6x = -3 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 20 + -6x + -5x = -3 + 5x + -5x Combine like terms: -6x + -5x = -11x 20 + -11x = -3 + 5x + -5x Combine like terms: 5x + -5x = 0 20 + -11x = -3 + 0 20 + -11x = -3 Add '-20' to each side of the equation. 20 + -20 + -11x = -3 + -20 Combine like terms: 20 + -20 = 0 0 + -11x = -3 + -20 -11x = -3 + -20 Combine like terms: -3 + -20 = -23 -11x = -23 Divide each side by '-11'. x = 2.090909091 Simplifying x = 2.090909091
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