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Simplifying -3(5 + -9x) + -5x = -2x + -8 (5 * -3 + -9x * -3) + -5x = -2x + -8 (-15 + 27x) + -5x = -2x + -8 Combine like terms: 27x + -5x = 22x -15 + 22x = -2x + -8 Reorder the terms: -15 + 22x = -8 + -2x Solving -15 + 22x = -8 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -15 + 22x + 2x = -8 + -2x + 2x Combine like terms: 22x + 2x = 24x -15 + 24x = -8 + -2x + 2x Combine like terms: -2x + 2x = 0 -15 + 24x = -8 + 0 -15 + 24x = -8 Add '15' to each side of the equation. -15 + 15 + 24x = -8 + 15 Combine like terms: -15 + 15 = 0 0 + 24x = -8 + 15 24x = -8 + 15 Combine like terms: -8 + 15 = 7 24x = 7 Divide each side by '24'. x = 0.2916666667 Simplifying x = 0.2916666667
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