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Simplifying 5(3 + -1x) = 2(3x + 2) + 20 (3 * 5 + -1x * 5) = 2(3x + 2) + 20 (15 + -5x) = 2(3x + 2) + 20 Reorder the terms: 15 + -5x = 2(2 + 3x) + 20 15 + -5x = (2 * 2 + 3x * 2) + 20 15 + -5x = (4 + 6x) + 20 Reorder the terms: 15 + -5x = 4 + 20 + 6x Combine like terms: 4 + 20 = 24 15 + -5x = 24 + 6x Solving 15 + -5x = 24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 15 + -5x + -6x = 24 + 6x + -6x Combine like terms: -5x + -6x = -11x 15 + -11x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 15 + -11x = 24 + 0 15 + -11x = 24 Add '-15' to each side of the equation. 15 + -15 + -11x = 24 + -15 Combine like terms: 15 + -15 = 0 0 + -11x = 24 + -15 -11x = 24 + -15 Combine like terms: 24 + -15 = 9 -11x = 9 Divide each side by '-11'. x = -0.8181818182 Simplifying x = -0.8181818182
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