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Simplifying 5(2x + -9) = 7x + -60 Reorder the terms: 5(-9 + 2x) = 7x + -60 (-9 * 5 + 2x * 5) = 7x + -60 (-45 + 10x) = 7x + -60 Reorder the terms: -45 + 10x = -60 + 7x Solving -45 + 10x = -60 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -45 + 10x + -7x = -60 + 7x + -7x Combine like terms: 10x + -7x = 3x -45 + 3x = -60 + 7x + -7x Combine like terms: 7x + -7x = 0 -45 + 3x = -60 + 0 -45 + 3x = -60 Add '45' to each side of the equation. -45 + 45 + 3x = -60 + 45 Combine like terms: -45 + 45 = 0 0 + 3x = -60 + 45 3x = -60 + 45 Combine like terms: -60 + 45 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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