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