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Simplifying 7(x + -5) = 6x + 35 + -13x Reorder the terms: 7(-5 + x) = 6x + 35 + -13x (-5 * 7 + x * 7) = 6x + 35 + -13x (-35 + 7x) = 6x + 35 + -13x Reorder the terms: -35 + 7x = 35 + 6x + -13x Combine like terms: 6x + -13x = -7x -35 + 7x = 35 + -7x Solving -35 + 7x = 35 + -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 + 7x + 7x = 35 + -7x + 7x Combine like terms: 7x + 7x = 14x -35 + 14x = 35 + -7x + 7x Combine like terms: -7x + 7x = 0 -35 + 14x = 35 + 0 -35 + 14x = 35 Add '35' to each side of the equation. -35 + 35 + 14x = 35 + 35 Combine like terms: -35 + 35 = 0 0 + 14x = 35 + 35 14x = 35 + 35 Combine like terms: 35 + 35 = 70 14x = 70 Divide each side by '14'. x = 5 Simplifying x = 5
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