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Simplifying 3x + -1(7 + x + -1(5x + -4)) = 3x + -35 Reorder the terms: 3x + -1(7 + x + -1(-4 + 5x)) = 3x + -35 3x + -1(7 + x + (-4 * -1 + 5x * -1)) = 3x + -35 3x + -1(7 + x + (4 + -5x)) = 3x + -35 Reorder the terms: 3x + -1(7 + 4 + x + -5x) = 3x + -35 Combine like terms: 7 + 4 = 11 3x + -1(11 + x + -5x) = 3x + -35 Combine like terms: x + -5x = -4x 3x + -1(11 + -4x) = 3x + -35 3x + (11 * -1 + -4x * -1) = 3x + -35 3x + (-11 + 4x) = 3x + -35 Reorder the terms: -11 + 3x + 4x = 3x + -35 Combine like terms: 3x + 4x = 7x -11 + 7x = 3x + -35 Reorder the terms: -11 + 7x = -35 + 3x Solving -11 + 7x = -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. -11 + 7x + -3x = -35 + 3x + -3x Combine like terms: 7x + -3x = 4x -11 + 4x = -35 + 3x + -3x Combine like terms: 3x + -3x = 0 -11 + 4x = -35 + 0 -11 + 4x = -35 Add '11' to each side of the equation. -11 + 11 + 4x = -35 + 11 Combine like terms: -11 + 11 = 0 0 + 4x = -35 + 11 4x = -35 + 11 Combine like terms: -35 + 11 = -24 4x = -24 Divide each side by '4'. x = -6 Simplifying x = -6
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