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Simplifying -5(-2x + 4) + -6(4x + 5) = 36 Reorder the terms: -5(4 + -2x) + -6(4x + 5) = 36 (4 * -5 + -2x * -5) + -6(4x + 5) = 36 (-20 + 10x) + -6(4x + 5) = 36 Reorder the terms: -20 + 10x + -6(5 + 4x) = 36 -20 + 10x + (5 * -6 + 4x * -6) = 36 -20 + 10x + (-30 + -24x) = 36 Reorder the terms: -20 + -30 + 10x + -24x = 36 Combine like terms: -20 + -30 = -50 -50 + 10x + -24x = 36 Combine like terms: 10x + -24x = -14x -50 + -14x = 36 Solving -50 + -14x = 36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + -14x = 36 + 50 Combine like terms: -50 + 50 = 0 0 + -14x = 36 + 50 -14x = 36 + 50 Combine like terms: 36 + 50 = 86 -14x = 86 Divide each side by '-14'. x = -6.142857143 Simplifying x = -6.142857143
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