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Simplifying 5(2x + -9) = 8x + 7 Reorder the terms: 5(-9 + 2x) = 8x + 7 (-9 * 5 + 2x * 5) = 8x + 7 (-45 + 10x) = 8x + 7 Reorder the terms: -45 + 10x = 7 + 8x Solving -45 + 10x = 7 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -45 + 10x + -8x = 7 + 8x + -8x Combine like terms: 10x + -8x = 2x -45 + 2x = 7 + 8x + -8x Combine like terms: 8x + -8x = 0 -45 + 2x = 7 + 0 -45 + 2x = 7 Add '45' to each side of the equation. -45 + 45 + 2x = 7 + 45 Combine like terms: -45 + 45 = 0 0 + 2x = 7 + 45 2x = 7 + 45 Combine like terms: 7 + 45 = 52 2x = 52 Divide each side by '2'. x = 26 Simplifying x = 26
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