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Simplifying 7x + -1(5x + 7) = 4x + -35 Reorder the terms: 7x + -1(7 + 5x) = 4x + -35 7x + (7 * -1 + 5x * -1) = 4x + -35 7x + (-7 + -5x) = 4x + -35 Reorder the terms: -7 + 7x + -5x = 4x + -35 Combine like terms: 7x + -5x = 2x -7 + 2x = 4x + -35 Reorder the terms: -7 + 2x = -35 + 4x Solving -7 + 2x = -35 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -7 + 2x + -4x = -35 + 4x + -4x Combine like terms: 2x + -4x = -2x -7 + -2x = -35 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + -2x = -35 + 0 -7 + -2x = -35 Add '7' to each side of the equation. -7 + 7 + -2x = -35 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = -35 + 7 -2x = -35 + 7 Combine like terms: -35 + 7 = -28 -2x = -28 Divide each side by '-2'. x = 14 Simplifying x = 14
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