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Simplifying 5(4 + 2x) + 4(3 + -6x) = -36 (4 * 5 + 2x * 5) + 4(3 + -6x) = -36 (20 + 10x) + 4(3 + -6x) = -36 20 + 10x + (3 * 4 + -6x * 4) = -36 20 + 10x + (12 + -24x) = -36 Reorder the terms: 20 + 12 + 10x + -24x = -36 Combine like terms: 20 + 12 = 32 32 + 10x + -24x = -36 Combine like terms: 10x + -24x = -14x 32 + -14x = -36 Solving 32 + -14x = -36 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 + -14x = -36 + -32 Combine like terms: 32 + -32 = 0 0 + -14x = -36 + -32 -14x = -36 + -32 Combine like terms: -36 + -32 = -68 -14x = -68 Divide each side by '-14'. x = 4.857142857 Simplifying x = 4.857142857
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