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Simplifying b + -1[x + 4a + (x + -7)] = 0 Reorder the terms: b + -1[x + 4a + (-7 + x)] = 0 Remove parenthesis around (-7 + x) b + -1[x + 4a + -7 + x] = 0 Reorder the terms: b + -1[-7 + 4a + x + x] = 0 Combine like terms: x + x = 2x b + -1[-7 + 4a + 2x] = 0 b + [-7 * -1 + 4a * -1 + 2x * -1] = 0 b + [7 + -4a + -2x] = 0 Reorder the terms: 7 + -4a + b + -2x = 0 Solving 7 + -4a + b + -2x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -4a + b + -7 + -2x = 0 + -7 Reorder the terms: 7 + -7 + -4a + b + -2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4a + b + -2x = 0 + -7 -4a + b + -2x = 0 + -7 Combine like terms: 0 + -7 = -7 -4a + b + -2x = -7 Add '-1b' to each side of the equation. -4a + b + -1b + -2x = -7 + -1b Combine like terms: b + -1b = 0 -4a + 0 + -2x = -7 + -1b -4a + -2x = -7 + -1b Add '2x' to each side of the equation. -4a + -2x + 2x = -7 + -1b + 2x Combine like terms: -2x + 2x = 0 -4a + 0 = -7 + -1b + 2x -4a = -7 + -1b + 2x Divide each side by '-4'. a = 1.75 + 0.25b + -0.5x Simplifying a = 1.75 + 0.25b + -0.5x
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