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Simplifying 4(-5x + -6) = -90 + -6(x + 10) Reorder the terms: 4(-6 + -5x) = -90 + -6(x + 10) (-6 * 4 + -5x * 4) = -90 + -6(x + 10) (-24 + -20x) = -90 + -6(x + 10) Reorder the terms: -24 + -20x = -90 + -6(10 + x) -24 + -20x = -90 + (10 * -6 + x * -6) -24 + -20x = -90 + (-60 + -6x) Combine like terms: -90 + -60 = -150 -24 + -20x = -150 + -6x Solving -24 + -20x = -150 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -24 + -20x + 6x = -150 + -6x + 6x Combine like terms: -20x + 6x = -14x -24 + -14x = -150 + -6x + 6x Combine like terms: -6x + 6x = 0 -24 + -14x = -150 + 0 -24 + -14x = -150 Add '24' to each side of the equation. -24 + 24 + -14x = -150 + 24 Combine like terms: -24 + 24 = 0 0 + -14x = -150 + 24 -14x = -150 + 24 Combine like terms: -150 + 24 = -126 -14x = -126 Divide each side by '-14'. x = 9 Simplifying x = 9
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