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Simplifying 7x + -1(3x + 11) = -6(5 + -3x) Reorder the terms: 7x + -1(11 + 3x) = -6(5 + -3x) 7x + (11 * -1 + 3x * -1) = -6(5 + -3x) 7x + (-11 + -3x) = -6(5 + -3x) Reorder the terms: -11 + 7x + -3x = -6(5 + -3x) Combine like terms: 7x + -3x = 4x -11 + 4x = -6(5 + -3x) -11 + 4x = (5 * -6 + -3x * -6) -11 + 4x = (-30 + 18x) Solving -11 + 4x = -30 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -11 + 4x + -18x = -30 + 18x + -18x Combine like terms: 4x + -18x = -14x -11 + -14x = -30 + 18x + -18x Combine like terms: 18x + -18x = 0 -11 + -14x = -30 + 0 -11 + -14x = -30 Add '11' to each side of the equation. -11 + 11 + -14x = -30 + 11 Combine like terms: -11 + 11 = 0 0 + -14x = -30 + 11 -14x = -30 + 11 Combine like terms: -30 + 11 = -19 -14x = -19 Divide each side by '-14'. x = 1.357142857 Simplifying x = 1.357142857
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