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Simplifying 5(-3 + -9x) + 5x = 34 + 9x (-3 * 5 + -9x * 5) + 5x = 34 + 9x (-15 + -45x) + 5x = 34 + 9x Combine like terms: -45x + 5x = -40x -15 + -40x = 34 + 9x Solving -15 + -40x = 34 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -15 + -40x + -9x = 34 + 9x + -9x Combine like terms: -40x + -9x = -49x -15 + -49x = 34 + 9x + -9x Combine like terms: 9x + -9x = 0 -15 + -49x = 34 + 0 -15 + -49x = 34 Add '15' to each side of the equation. -15 + 15 + -49x = 34 + 15 Combine like terms: -15 + 15 = 0 0 + -49x = 34 + 15 -49x = 34 + 15 Combine like terms: 34 + 15 = 49 -49x = 49 Divide each side by '-49'. x = -1 Simplifying x = -1
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