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Simplifying x + -1(2x + 7) = 9 + -1(7x + 7) Reorder the terms: x + -1(7 + 2x) = 9 + -1(7x + 7) x + (7 * -1 + 2x * -1) = 9 + -1(7x + 7) x + (-7 + -2x) = 9 + -1(7x + 7) Reorder the terms: -7 + x + -2x = 9 + -1(7x + 7) Combine like terms: x + -2x = -1x -7 + -1x = 9 + -1(7x + 7) Reorder the terms: -7 + -1x = 9 + -1(7 + 7x) -7 + -1x = 9 + (7 * -1 + 7x * -1) -7 + -1x = 9 + (-7 + -7x) Combine like terms: 9 + -7 = 2 -7 + -1x = 2 + -7x Solving -7 + -1x = 2 + -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 = 2 + -7x + 7x Combine like terms: -1x + 7x = 6x -7 + 6x = 2 + -7x + 7x Combine like terms: -7x + 7x = 0 -7 + 6x = 2 + 0 -7 + 6x = 2 Add '7' to each side of the equation. -7 + 7 + 6x = 2 + 7 Combine like terms: -7 + 7 = 0 0 + 6x = 2 + 7 6x = 2 + 7 Combine like terms: 2 + 7 = 9 6x = 9 Divide each side by '6'. x = 1.5 Simplifying x = 1.5
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