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Simplifying 4(5x + 3) + -9x = -3(x + -1) + 31 Reorder the terms: 4(3 + 5x) + -9x = -3(x + -1) + 31 (3 * 4 + 5x * 4) + -9x = -3(x + -1) + 31 (12 + 20x) + -9x = -3(x + -1) + 31 Combine like terms: 20x + -9x = 11x 12 + 11x = -3(x + -1) + 31 Reorder the terms: 12 + 11x = -3(-1 + x) + 31 12 + 11x = (-1 * -3 + x * -3) + 31 12 + 11x = (3 + -3x) + 31 Reorder the terms: 12 + 11x = 3 + 31 + -3x Combine like terms: 3 + 31 = 34 12 + 11x = 34 + -3x Solving 12 + 11x = 34 + -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. 12 + 11x + 3x = 34 + -3x + 3x Combine like terms: 11x + 3x = 14x 12 + 14x = 34 + -3x + 3x Combine like terms: -3x + 3x = 0 12 + 14x = 34 + 0 12 + 14x = 34 Add '-12' to each side of the equation. 12 + -12 + 14x = 34 + -12 Combine like terms: 12 + -12 = 0 0 + 14x = 34 + -12 14x = 34 + -12 Combine like terms: 34 + -12 = 22 14x = 22 Divide each side by '14'. x = 1.571428571 Simplifying x = 1.571428571
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