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Simplifying 7x + -1(6x + 2) = 9x + -50 Reorder the terms: 7x + -1(2 + 6x) = 9x + -50 7x + (2 * -1 + 6x * -1) = 9x + -50 7x + (-2 + -6x) = 9x + -50 Reorder the terms: -2 + 7x + -6x = 9x + -50 Combine like terms: 7x + -6x = 1x -2 + 1x = 9x + -50 Reorder the terms: -2 + 1x = -50 + 9x Solving -2 + 1x = -50 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -2 + 1x + -9x = -50 + 9x + -9x Combine like terms: 1x + -9x = -8x -2 + -8x = -50 + 9x + -9x Combine like terms: 9x + -9x = 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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