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Simplifying -130 + -10x = 150 + -45x Solving -130 + -10x = 150 + -45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45x' to each side of the equation. -130 + -10x + 45x = 150 + -45x + 45x Combine like terms: -10x + 45x = 35x -130 + 35x = 150 + -45x + 45x Combine like terms: -45x + 45x = 0 -130 + 35x = 150 + 0 -130 + 35x = 150 Add '130' to each side of the equation. -130 + 130 + 35x = 150 + 130 Combine like terms: -130 + 130 = 0 0 + 35x = 150 + 130 35x = 150 + 130 Combine like terms: 150 + 130 = 280 35x = 280 Divide each side by '35'. x = 8 Simplifying x = 8
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