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Simplifying 7(2x + -5) + -3x = 42 Reorder the terms: 7(-5 + 2x) + -3x = 42 (-5 * 7 + 2x * 7) + -3x = 42 (-35 + 14x) + -3x = 42 Combine like terms: 14x + -3x = 11x -35 + 11x = 42 Solving -35 + 11x = 42 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 + 11x = 42 + 35 Combine like terms: -35 + 35 = 0 0 + 11x = 42 + 35 11x = 42 + 35 Combine like terms: 42 + 35 = 77 11x = 77 Divide each side by '11'. x = 7 Simplifying x = 7
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