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Simplifying 6x + 7 = ax + -2a + bx + -2b Reorder the terms: 7 + 6x = ax + -2a + bx + -2b Reorder the terms: 7 + 6x = -2a + ax + -2b + bx Solving 7 + 6x = -2a + ax + -2b + 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 + 6x = -2a + ax + -2b + -1ax + bx Reorder the terms: 7 + -1ax + 6x = -2a + ax + -1ax + -2b + bx Combine like terms: ax + -1ax = 0 7 + -1ax + 6x = -2a + 0 + -2b + bx 7 + -1ax + 6x = -2a + -2b + bx Add '-1bx' to each side of the equation. 7 + -1ax + -1bx + 6x = -2a + -2b + bx + -1bx Combine like terms: bx + -1bx = 0 7 + -1ax + -1bx + 6x = -2a + -2b + 0 7 + -1ax + -1bx + 6x = -2a + -2b Add '-7' to each side of the equation. 7 + -1ax + -1bx + -7 + 6x = -2a + -7 + -2b Reorder the terms: 7 + -7 + -1ax + -1bx + 6x = -2a + -7 + -2b Combine like terms: 7 + -7 = 0 0 + -1ax + -1bx + 6x = -2a + -7 + -2b -1ax + -1bx + 6x = -2a + -7 + -2b Reorder the terms: -1ax + -1bx + 6x = -7 + -2a + -2b Reorder the terms: 7 + 2a + -1ax + 2b + -1bx + 6x = -7 + -2a + -2b + 7 + 2a + 2b Reorder the terms: 7 + 2a + -1ax + 2b + -1bx + 6x = -7 + 7 + -2a + 2a + -2b + 2b Combine like terms: -7 + 7 = 0 7 + 2a + -1ax + 2b + -1bx + 6x = 0 + -2a + 2a + -2b + 2b 7 + 2a + -1ax + 2b + -1bx + 6x = -2a + 2a + -2b + 2b Combine like terms: -2a + 2a = 0 7 + 2a + -1ax + 2b + -1bx + 6x = 0 + -2b + 2b 7 + 2a + -1ax + 2b + -1bx + 6x = -2b + 2b Combine like terms: -2b + 2b = 0 7 + 2a + -1ax + 2b + -1bx + 6x = 0 The solution to this equation could not be determined.
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