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Simplifying x + -1(2x + 6) = 2 + -1(7x + 6) Reorder the terms: x + -1(6 + 2x) = 2 + -1(7x + 6) x + (6 * -1 + 2x * -1) = 2 + -1(7x + 6) x + (-6 + -2x) = 2 + -1(7x + 6) Reorder the terms: -6 + x + -2x = 2 + -1(7x + 6) Combine like terms: x + -2x = -1x -6 + -1x = 2 + -1(7x + 6) Reorder the terms: -6 + -1x = 2 + -1(6 + 7x) -6 + -1x = 2 + (6 * -1 + 7x * -1) -6 + -1x = 2 + (-6 + -7x) Combine like terms: 2 + -6 = -4 -6 + -1x = -4 + -7x Solving -6 + -1x = -4 + -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 + -1x + 7x = -4 + -7x + 7x Combine like terms: -1x + 7x = 6x -6 + 6x = -4 + -7x + 7x Combine like terms: -7x + 7x = 0 -6 + 6x = -4 + 0 -6 + 6x = -4 Add '6' to each side of the equation. -6 + 6 + 6x = -4 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = -4 + 6 6x = -4 + 6 Combine like terms: -4 + 6 = 2 6x = 2 Divide each side by '6'. x = 0.3333333333 Simplifying x = 0.3333333333
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