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Simplifying -1(4 + -1(x + 2) + -1x + -1(-1x + 4)) + -1(x + -10) = a Reorder the terms: -1(4 + -1(2 + x) + -1x + -1(-1x + 4)) + -1(x + -10) = a -1(4 + (2 * -1 + x * -1) + -1x + -1(-1x + 4)) + -1(x + -10) = a -1(4 + (-2 + -1x) + -1x + -1(-1x + 4)) + -1(x + -10) = a Reorder the terms: -1(4 + -2 + -1x + -1x + -1(4 + -1x)) + -1(x + -10) = a -1(4 + -2 + -1x + -1x + (4 * -1 + -1x * -1)) + -1(x + -10) = a -1(4 + -2 + -1x + -1x + (-4 + 1x)) + -1(x + -10) = a Reorder the terms: -1(4 + -2 + -4 + -1x + -1x + 1x) + -1(x + -10) = a Combine like terms: 4 + -2 = 2 -1(2 + -4 + -1x + -1x + 1x) + -1(x + -10) = a Combine like terms: 2 + -4 = -2 -1(-2 + -1x + -1x + 1x) + -1(x + -10) = a Combine like terms: -1x + -1x = -2x -1(-2 + -2x + 1x) + -1(x + -10) = a Combine like terms: -2x + 1x = -1x -1(-2 + -1x) + -1(x + -10) = a (-2 * -1 + -1x * -1) + -1(x + -10) = a (2 + 1x) + -1(x + -10) = a Reorder the terms: 2 + 1x + -1(-10 + x) = a 2 + 1x + (-10 * -1 + x * -1) = a 2 + 1x + (10 + -1x) = a Reorder the terms: 2 + 10 + 1x + -1x = a Combine like terms: 2 + 10 = 12 12 + 1x + -1x = a Combine like terms: 1x + -1x = 0 12 + 0 = a 12 = a Solving 12 = a 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. 12 + -1a = a + -1a Combine like terms: a + -1a = 0 12 + -1a = 0 Add '-12' to each side of the equation. 12 + -12 + -1a = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1a = 0 + -12 -1a = 0 + -12 Combine like terms: 0 + -12 = -12 -1a = -12 Divide each side by '-1'. a = 12 Simplifying a = 12
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