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Simplifying 5(2x + -7) + 6x = 100 Reorder the terms: 5(-7 + 2x) + 6x = 100 (-7 * 5 + 2x * 5) + 6x = 100 (-35 + 10x) + 6x = 100 Combine like terms: 10x + 6x = 16x -35 + 16x = 100 Solving -35 + 16x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 16x = 100 + 35 Combine like terms: -35 + 35 = 0 0 + 16x = 100 + 35 16x = 100 + 35 Combine like terms: 100 + 35 = 135 16x = 135 Divide each side by '16'. x = 8.4375 Simplifying x = 8.4375
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