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Simplifying 2x + -1(7x + 2) = 3x + -50 Reorder the terms: 2x + -1(2 + 7x) = 3x + -50 2x + (2 * -1 + 7x * -1) = 3x + -50 2x + (-2 + -7x) = 3x + -50 Reorder the terms: -2 + 2x + -7x = 3x + -50 Combine like terms: 2x + -7x = -5x -2 + -5x = 3x + -50 Reorder the terms: -2 + -5x = -50 + 3x Solving -2 + -5x = -50 + 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. -2 + -5x + -3x = -50 + 3x + -3x Combine like terms: -5x + -3x = -8x -2 + -8x = -50 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + -8x = -50 + 0 -2 + -8x = -50 Add '2' to each side of the equation. -2 + 2 + -8x = -50 + 2 Combine like terms: -2 + 2 = 0 0 + -8x = -50 + 2 -8x = -50 + 2 Combine like terms: -50 + 2 = -48 -8x = -48 Divide each side by '-8'. x = 6 Simplifying x = 6
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