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Simplifying 3x + -35 = -7(x + -5) Reorder the terms: -35 + 3x = -7(x + -5) Reorder the terms: -35 + 3x = -7(-5 + x) -35 + 3x = (-5 * -7 + x * -7) -35 + 3x = (35 + -7x) Solving -35 + 3x = 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 + 3x + 7x = 35 + -7x + 7x Combine like terms: 3x + 7x = 10x -35 + 10x = 35 + -7x + 7x Combine like terms: -7x + 7x = 0 -35 + 10x = 35 + 0 -35 + 10x = 35 Add '35' to each side of the equation. -35 + 35 + 10x = 35 + 35 Combine like terms: -35 + 35 = 0 0 + 10x = 35 + 35 10x = 35 + 35 Combine like terms: 35 + 35 = 70 10x = 70 Divide each side by '10'. x = 7 Simplifying x = 7
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