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Simplifying 7(3x + -5) = 14x Reorder the terms: 7(-5 + 3x) = 14x (-5 * 7 + 3x * 7) = 14x (-35 + 21x) = 14x Solving -35 + 21x = 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -35 + 21x + -14x = 14x + -14x Combine like terms: 21x + -14x = 7x -35 + 7x = 14x + -14x Combine like terms: 14x + -14x = 0 -35 + 7x = 0 Add '35' to each side of the equation. -35 + 35 + 7x = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 7x = 0 + 35 7x = 0 + 35 Combine like terms: 0 + 35 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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