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Simplifying 3x + -1(7x + 2) = 7x + -35 Reorder the terms: 3x + -1(2 + 7x) = 7x + -35 3x + (2 * -1 + 7x * -1) = 7x + -35 3x + (-2 + -7x) = 7x + -35 Reorder the terms: -2 + 3x + -7x = 7x + -35 Combine like terms: 3x + -7x = -4x -2 + -4x = 7x + -35 Reorder the terms: -2 + -4x = -35 + 7x Solving -2 + -4x = -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. -2 + -4x + -7x = -35 + 7x + -7x Combine like terms: -4x + -7x = -11x -2 + -11x = -35 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + -11x = -35 + 0 -2 + -11x = -35 Add '2' to each side of the equation. -2 + 2 + -11x = -35 + 2 Combine like terms: -2 + 2 = 0 0 + -11x = -35 + 2 -11x = -35 + 2 Combine like terms: -35 + 2 = -33 -11x = -33 Divide each side by '-11'. x = 3 Simplifying x = 3
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