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Simplifying x + -1(3 + -1x) = 7 + -1(x + -2) x + (3 * -1 + -1x * -1) = 7 + -1(x + -2) x + (-3 + 1x) = 7 + -1(x + -2) Reorder the terms: -3 + x + 1x = 7 + -1(x + -2) Combine like terms: x + 1x = 2x -3 + 2x = 7 + -1(x + -2) Reorder the terms: -3 + 2x = 7 + -1(-2 + x) -3 + 2x = 7 + (-2 * -1 + x * -1) -3 + 2x = 7 + (2 + -1x) Combine like terms: 7 + 2 = 9 -3 + 2x = 9 + -1x Solving -3 + 2x = 9 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -3 + 2x + x = 9 + -1x + x Combine like terms: 2x + x = 3x -3 + 3x = 9 + -1x + x Combine like terms: -1x + x = 0 -3 + 3x = 9 + 0 -3 + 3x = 9 Add '3' to each side of the equation. -3 + 3 + 3x = 9 + 3 Combine like terms: -3 + 3 = 0 0 + 3x = 9 + 3 3x = 9 + 3 Combine like terms: 9 + 3 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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