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Simplifying 6(3x + 4) + 5(2x + -1) = 0 Reorder the terms: 6(4 + 3x) + 5(2x + -1) = 0 (4 * 6 + 3x * 6) + 5(2x + -1) = 0 (24 + 18x) + 5(2x + -1) = 0 Reorder the terms: 24 + 18x + 5(-1 + 2x) = 0 24 + 18x + (-1 * 5 + 2x * 5) = 0 24 + 18x + (-5 + 10x) = 0 Reorder the terms: 24 + -5 + 18x + 10x = 0 Combine like terms: 24 + -5 = 19 19 + 18x + 10x = 0 Combine like terms: 18x + 10x = 28x 19 + 28x = 0 Solving 19 + 28x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 28x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 28x = 0 + -19 28x = 0 + -19 Combine like terms: 0 + -19 = -19 28x = -19 Divide each side by '28'. x = -0.6785714286 Simplifying x = -0.6785714286
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