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Simplifying 3x + -1(7x + 6) = 7x + -50 Reorder the terms: 3x + -1(6 + 7x) = 7x + -50 3x + (6 * -1 + 7x * -1) = 7x + -50 3x + (-6 + -7x) = 7x + -50 Reorder the terms: -6 + 3x + -7x = 7x + -50 Combine like terms: 3x + -7x = -4x -6 + -4x = 7x + -50 Reorder the terms: -6 + -4x = -50 + 7x Solving -6 + -4x = -50 + 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. -6 + -4x + -7x = -50 + 7x + -7x Combine like terms: -4x + -7x = -11x -6 + -11x = -50 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + -11x = -50 + 0 -6 + -11x = -50 Add '6' to each side of the equation. -6 + 6 + -11x = -50 + 6 Combine like terms: -6 + 6 = 0 0 + -11x = -50 + 6 -11x = -50 + 6 Combine like terms: -50 + 6 = -44 -11x = -44 Divide each side by '-11'. x = 4 Simplifying x = 4
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