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Simplifying 2x + -1(5x + 7) = 6 + -1(6x + -2) Reorder the terms: 2x + -1(7 + 5x) = 6 + -1(6x + -2) 2x + (7 * -1 + 5x * -1) = 6 + -1(6x + -2) 2x + (-7 + -5x) = 6 + -1(6x + -2) Reorder the terms: -7 + 2x + -5x = 6 + -1(6x + -2) Combine like terms: 2x + -5x = -3x -7 + -3x = 6 + -1(6x + -2) Reorder the terms: -7 + -3x = 6 + -1(-2 + 6x) -7 + -3x = 6 + (-2 * -1 + 6x * -1) -7 + -3x = 6 + (2 + -6x) Combine like terms: 6 + 2 = 8 -7 + -3x = 8 + -6x Solving -7 + -3x = 8 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -7 + -3x + 6x = 8 + -6x + 6x Combine like terms: -3x + 6x = 3x -7 + 3x = 8 + -6x + 6x Combine like terms: -6x + 6x = 0 -7 + 3x = 8 + 0 -7 + 3x = 8 Add '7' to each side of the equation. -7 + 7 + 3x = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 3x = 8 + 7 3x = 8 + 7 Combine like terms: 8 + 7 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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