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Simplifying 7(2x + -5) + 2x + -11 = 19 Reorder the terms: 7(-5 + 2x) + 2x + -11 = 19 (-5 * 7 + 2x * 7) + 2x + -11 = 19 (-35 + 14x) + 2x + -11 = 19 Reorder the terms: -35 + -11 + 14x + 2x = 19 Combine like terms: -35 + -11 = -46 -46 + 14x + 2x = 19 Combine like terms: 14x + 2x = 16x -46 + 16x = 19 Solving -46 + 16x = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + 16x = 19 + 46 Combine like terms: -46 + 46 = 0 0 + 16x = 19 + 46 16x = 19 + 46 Combine like terms: 19 + 46 = 65 16x = 65 Divide each side by '16'. x = 4.0625 Simplifying x = 4.0625
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