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Simplifying 5x + -1(7x + 5) = 3x + -35 Reorder the terms: 5x + -1(5 + 7x) = 3x + -35 5x + (5 * -1 + 7x * -1) = 3x + -35 5x + (-5 + -7x) = 3x + -35 Reorder the terms: -5 + 5x + -7x = 3x + -35 Combine like terms: 5x + -7x = -2x -5 + -2x = 3x + -35 Reorder the terms: -5 + -2x = -35 + 3x Solving -5 + -2x = -35 + 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. -5 + -2x + -3x = -35 + 3x + -3x Combine like terms: -2x + -3x = -5x -5 + -5x = -35 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + -5x = -35 + 0 -5 + -5x = -35 Add '5' to each side of the equation. -5 + 5 + -5x = -35 + 5 Combine like terms: -5 + 5 = 0 0 + -5x = -35 + 5 -5x = -35 + 5 Combine like terms: -35 + 5 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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