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Simplifying 3x + 7(x + -5) = 3(x + -7) Reorder the terms: 3x + 7(-5 + x) = 3(x + -7) 3x + (-5 * 7 + x * 7) = 3(x + -7) 3x + (-35 + 7x) = 3(x + -7) Reorder the terms: -35 + 3x + 7x = 3(x + -7) Combine like terms: 3x + 7x = 10x -35 + 10x = 3(x + -7) Reorder the terms: -35 + 10x = 3(-7 + x) -35 + 10x = (-7 * 3 + x * 3) -35 + 10x = (-21 + 3x) Solving -35 + 10x = -21 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -35 + 10x + -3x = -21 + 3x + -3x Combine like terms: 10x + -3x = 7x -35 + 7x = -21 + 3x + -3x Combine like terms: 3x + -3x = 0 -35 + 7x = -21 + 0 -35 + 7x = -21 Add '35' to each side of the equation. -35 + 35 + 7x = -21 + 35 Combine like terms: -35 + 35 = 0 0 + 7x = -21 + 35 7x = -21 + 35 Combine like terms: -21 + 35 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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