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Simplifying 2(3x + 4) + -5(4x + 1) = 0 Reorder the terms: 2(4 + 3x) + -5(4x + 1) = 0 (4 * 2 + 3x * 2) + -5(4x + 1) = 0 (8 + 6x) + -5(4x + 1) = 0 Reorder the terms: 8 + 6x + -5(1 + 4x) = 0 8 + 6x + (1 * -5 + 4x * -5) = 0 8 + 6x + (-5 + -20x) = 0 Reorder the terms: 8 + -5 + 6x + -20x = 0 Combine like terms: 8 + -5 = 3 3 + 6x + -20x = 0 Combine like terms: 6x + -20x = -14x 3 + -14x = 0 Solving 3 + -14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -14x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -14x = 0 + -3 -14x = 0 + -3 Combine like terms: 0 + -3 = -3 -14x = -3 Divide each side by '-14'. x = 0.2142857143 Simplifying x = 0.2142857143
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