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Simplifying 5(2x + 4) + -6(-3x + -2) = 0 Reorder the terms: 5(4 + 2x) + -6(-3x + -2) = 0 (4 * 5 + 2x * 5) + -6(-3x + -2) = 0 (20 + 10x) + -6(-3x + -2) = 0 Reorder the terms: 20 + 10x + -6(-2 + -3x) = 0 20 + 10x + (-2 * -6 + -3x * -6) = 0 20 + 10x + (12 + 18x) = 0 Reorder the terms: 20 + 12 + 10x + 18x = 0 Combine like terms: 20 + 12 = 32 32 + 10x + 18x = 0 Combine like terms: 10x + 18x = 28x 32 + 28x = 0 Solving 32 + 28x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 28x = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 28x = 0 + -32 28x = 0 + -32 Combine like terms: 0 + -32 = -32 28x = -32 Divide each side by '28'. x = -1.142857143 Simplifying x = -1.142857143
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