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Simplifying 8(x + -1a) + -1(28b + -1x) = a + -1b Reorder the terms: 8(-1a + x) + -1(28b + -1x) = a + -1b (-1a * 8 + x * 8) + -1(28b + -1x) = a + -1b (-8a + 8x) + -1(28b + -1x) = a + -1b -8a + 8x + (28b * -1 + -1x * -1) = a + -1b -8a + 8x + (-28b + 1x) = a + -1b Reorder the terms: -8a + -28b + 8x + 1x = a + -1b Combine like terms: 8x + 1x = 9x -8a + -28b + 9x = a + -1b Solving -8a + -28b + 9x = a + -1b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -8a + -28b + -1a + 9x = a + -1a + -1b Reorder the terms: -8a + -1a + -28b + 9x = a + -1a + -1b Combine like terms: -8a + -1a = -9a -9a + -28b + 9x = a + -1a + -1b Combine like terms: a + -1a = 0 -9a + -28b + 9x = 0 + -1b -9a + -28b + 9x = -1b Add '28b' to each side of the equation. -9a + -28b + 28b + 9x = -1b + 28b Combine like terms: -28b + 28b = 0 -9a + 0 + 9x = -1b + 28b -9a + 9x = -1b + 28b Combine like terms: -1b + 28b = 27b -9a + 9x = 27b Add '-9x' to each side of the equation. -9a + 9x + -9x = 27b + -9x Combine like terms: 9x + -9x = 0 -9a + 0 = 27b + -9x -9a = 27b + -9x Divide each side by '-9'. a = -3b + x Simplifying a = -3b + x
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