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Simplifying x + -7 = ax + -2a + bx + 3b Reorder the terms: -7 + x = ax + -2a + bx + 3b Reorder the terms: -7 + x = -2a + ax + 3b + bx Solving -7 + x = -2a + ax + 3b + bx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1ax' to each side of the equation. -7 + -1ax + x = -2a + ax + 3b + -1ax + bx Reorder the terms: -7 + -1ax + x = -2a + ax + -1ax + 3b + bx Combine like terms: ax + -1ax = 0 -7 + -1ax + x = -2a + 0 + 3b + bx -7 + -1ax + x = -2a + 3b + bx Add '-1bx' to each side of the equation. -7 + -1ax + -1bx + x = -2a + 3b + bx + -1bx Combine like terms: bx + -1bx = 0 -7 + -1ax + -1bx + x = -2a + 3b + 0 -7 + -1ax + -1bx + x = -2a + 3b Add '7' to each side of the equation. -7 + -1ax + -1bx + 7 + x = -2a + 7 + 3b Reorder the terms: -7 + 7 + -1ax + -1bx + x = -2a + 7 + 3b Combine like terms: -7 + 7 = 0 0 + -1ax + -1bx + x = -2a + 7 + 3b -1ax + -1bx + x = -2a + 7 + 3b Reorder the terms: -1ax + -1bx + x = 7 + -2a + 3b Reorder the terms: -7 + 2a + -1ax + -3b + -1bx + x = 7 + -2a + 3b + -7 + 2a + -3b Reorder the terms: -7 + 2a + -1ax + -3b + -1bx + x = 7 + -7 + -2a + 2a + 3b + -3b Combine like terms: 7 + -7 = 0 -7 + 2a + -1ax + -3b + -1bx + x = 0 + -2a + 2a + 3b + -3b -7 + 2a + -1ax + -3b + -1bx + x = -2a + 2a + 3b + -3b Combine like terms: -2a + 2a = 0 -7 + 2a + -1ax + -3b + -1bx + x = 0 + 3b + -3b -7 + 2a + -1ax + -3b + -1bx + x = 3b + -3b Combine like terms: 3b + -3b = 0 -7 + 2a + -1ax + -3b + -1bx + x = 0 The solution to this equation could not be determined.
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