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