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Simplifying 5(a + x) + -1bx + 7 = 4b + 2ax (a * 5 + x * 5) + -1bx + 7 = 4b + 2ax (5a + 5x) + -1bx + 7 = 4b + 2ax Reorder the terms: 7 + 5a + -1bx + 5x = 4b + 2ax Reorder the terms: 7 + 5a + -1bx + 5x = 2ax + 4b Solving 7 + 5a + -1bx + 5x = 2ax + 4b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2ax' to each side of the equation. 7 + 5a + -1bx + -2ax + 5x = 2ax + -2ax + 4b Reorder the terms: 7 + 5a + -2ax + -1bx + 5x = 2ax + -2ax + 4b Combine like terms: 2ax + -2ax = 0 7 + 5a + -2ax + -1bx + 5x = 0 + 4b 7 + 5a + -2ax + -1bx + 5x = 4b Add '-7' to each side of the equation. 7 + 5a + -2ax + -1bx + -7 + 5x = -7 + 4b Reorder the terms: 7 + -7 + 5a + -2ax + -1bx + 5x = -7 + 4b Combine like terms: 7 + -7 = 0 0 + 5a + -2ax + -1bx + 5x = -7 + 4b 5a + -2ax + -1bx + 5x = -7 + 4b Add 'bx' to each side of the equation. 5a + -2ax + -1bx + bx + 5x = -7 + 4b + bx Combine like terms: -1bx + bx = 0 5a + -2ax + 0 + 5x = -7 + 4b + bx 5a + -2ax + 5x = -7 + 4b + bx Add '-5x' to each side of the equation. 5a + -2ax + 5x + -5x = -7 + 4b + bx + -5x Combine like terms: 5x + -5x = 0 5a + -2ax + 0 = -7 + 4b + bx + -5x 5a + -2ax = -7 + 4b + bx + -5x Reorder the terms: 7 + 5a + -2ax + -4b + -1bx + 5x = -7 + 4b + bx + -5x + 7 + -4b + -1bx + 5x Reorder the terms: 7 + 5a + -2ax + -4b + -1bx + 5x = -7 + 7 + 4b + -4b + bx + -1bx + -5x + 5x Combine like terms: -7 + 7 = 0 7 + 5a + -2ax + -4b + -1bx + 5x = 0 + 4b + -4b + bx + -1bx + -5x + 5x 7 + 5a + -2ax + -4b + -1bx + 5x = 4b + -4b + bx + -1bx + -5x + 5x Combine like terms: 4b + -4b = 0 7 + 5a + -2ax + -4b + -1bx + 5x = 0 + bx + -1bx + -5x + 5x 7 + 5a + -2ax + -4b + -1bx + 5x = bx + -1bx + -5x + 5x Combine like terms: bx + -1bx = 0 7 + 5a + -2ax + -4b + -1bx + 5x = 0 + -5x + 5x 7 + 5a + -2ax + -4b + -1bx + 5x = -5x + 5x Combine like terms: -5x + 5x = 0 7 + 5a + -2ax + -4b + -1bx + 5x = 0 The solution to this equation could not be determined.
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