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Simplifying -2(-5 + -1(x + 3)) = -1 + -1(x + -1(-10)) Reorder the terms: -2(-5 + -1(3 + x)) = -1 + -1(x + -1(-10)) -2(-5 + (3 * -1 + x * -1)) = -1 + -1(x + -1(-10)) -2(-5 + (-3 + -1x)) = -1 + -1(x + -1(-10)) Combine like terms: -5 + -3 = -8 -2(-8 + -1x) = -1 + -1(x + -1(-10)) (-8 * -2 + -1x * -2) = -1 + -1(x + -1(-10)) (16 + 2x) = -1 + -1(x + -1(-10)) Multiply -1 * -10 16 + 2x = -1 + -1(x + 10) Reorder the terms: 16 + 2x = -1 + -1(10 + x) 16 + 2x = -1 + (10 * -1 + x * -1) 16 + 2x = -1 + (-10 + -1x) Combine like terms: -1 + -10 = -11 16 + 2x = -11 + -1x Solving 16 + 2x = -11 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 16 + 2x + x = -11 + -1x + x Combine like terms: 2x + x = 3x 16 + 3x = -11 + -1x + x Combine like terms: -1x + x = 0 16 + 3x = -11 + 0 16 + 3x = -11 Add '-16' to each side of the equation. 16 + -16 + 3x = -11 + -16 Combine like terms: 16 + -16 = 0 0 + 3x = -11 + -16 3x = -11 + -16 Combine like terms: -11 + -16 = -27 3x = -27 Divide each side by '3'. x = -9 Simplifying x = -9
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