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Simplifying 5(2x + -9) + -8x + 35 = 100 Reorder the terms: 5(-9 + 2x) + -8x + 35 = 100 (-9 * 5 + 2x * 5) + -8x + 35 = 100 (-45 + 10x) + -8x + 35 = 100 Reorder the terms: -45 + 35 + 10x + -8x = 100 Combine like terms: -45 + 35 = -10 -10 + 10x + -8x = 100 Combine like terms: 10x + -8x = 2x -10 + 2x = 100 Solving -10 + 2x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 2x = 100 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = 100 + 10 2x = 100 + 10 Combine like terms: 100 + 10 = 110 2x = 110 Divide each side by '2'. x = 55 Simplifying x = 55
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