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Simplifying 5(3x + 4) + -3(2x + 1) = 0 Reorder the terms: 5(4 + 3x) + -3(2x + 1) = 0 (4 * 5 + 3x * 5) + -3(2x + 1) = 0 (20 + 15x) + -3(2x + 1) = 0 Reorder the terms: 20 + 15x + -3(1 + 2x) = 0 20 + 15x + (1 * -3 + 2x * -3) = 0 20 + 15x + (-3 + -6x) = 0 Reorder the terms: 20 + -3 + 15x + -6x = 0 Combine like terms: 20 + -3 = 17 17 + 15x + -6x = 0 Combine like terms: 15x + -6x = 9x 17 + 9x = 0 Solving 17 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 9x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 9x = 0 + -17 9x = 0 + -17 Combine like terms: 0 + -17 = -17 9x = -17 Divide each side by '9'. x = -1.888888889 Simplifying x = -1.888888889
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