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Simplifying x + 7 + -1(9 + -2x) = 6 + -1[2x + 3 + -1(x + 3)] x + 7 + (9 * -1 + -2x * -1) = 6 + -1[2x + 3 + -1(x + 3)] x + 7 + (-9 + 2x) = 6 + -1[2x + 3 + -1(x + 3)] Reorder the terms: 7 + -9 + x + 2x = 6 + -1[2x + 3 + -1(x + 3)] Combine like terms: 7 + -9 = -2 -2 + x + 2x = 6 + -1[2x + 3 + -1(x + 3)] Combine like terms: x + 2x = 3x -2 + 3x = 6 + -1[2x + 3 + -1(x + 3)] Reorder the terms: -2 + 3x = 6 + -1[2x + 3 + -1(3 + x)] -2 + 3x = 6 + -1[2x + 3 + (3 * -1 + x * -1)] -2 + 3x = 6 + -1[2x + 3 + (-3 + -1x)] Reorder the terms: -2 + 3x = 6 + -1[3 + -3 + 2x + -1x] Combine like terms: 3 + -3 = 0 -2 + 3x = 6 + -1[0 + 2x + -1x] -2 + 3x = 6 + -1[2x + -1x] Combine like terms: 2x + -1x = 1x -2 + 3x = 6 + -1[1x] Remove brackets around [1x] -2 + 3x = 6 + -1 * 1x Multiply -1 * 1 -2 + 3x = 6 + -1x Solving -2 + 3x = 6 + -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. -2 + 3x + x = 6 + -1x + x Combine like terms: 3x + x = 4x -2 + 4x = 6 + -1x + x Combine like terms: -1x + x = 0 -2 + 4x = 6 + 0 -2 + 4x = 6 Add '2' to each side of the equation. -2 + 2 + 4x = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 4x = 6 + 2 4x = 6 + 2 Combine like terms: 6 + 2 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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