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Simplifying 7(2x + -5) = 7x + 7 Reorder the terms: 7(-5 + 2x) = 7x + 7 (-5 * 7 + 2x * 7) = 7x + 7 (-35 + 14x) = 7x + 7 Reorder the terms: -35 + 14x = 7 + 7x Solving -35 + 14x = 7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -35 + 14x + -7x = 7 + 7x + -7x Combine like terms: 14x + -7x = 7x -35 + 7x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 -35 + 7x = 7 + 0 -35 + 7x = 7 Add '35' to each side of the equation. -35 + 35 + 7x = 7 + 35 Combine like terms: -35 + 35 = 0 0 + 7x = 7 + 35 7x = 7 + 35 Combine like terms: 7 + 35 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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