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Simplifying -1(x + -8) = 1 + -4(x + 2) Reorder the terms: -1(-8 + x) = 1 + -4(x + 2) (-8 * -1 + x * -1) = 1 + -4(x + 2) (8 + -1x) = 1 + -4(x + 2) Reorder the terms: 8 + -1x = 1 + -4(2 + x) 8 + -1x = 1 + (2 * -4 + x * -4) 8 + -1x = 1 + (-8 + -4x) Combine like terms: 1 + -8 = -7 8 + -1x = -7 + -4x Solving 8 + -1x = -7 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 8 + -1x + 4x = -7 + -4x + 4x Combine like terms: -1x + 4x = 3x 8 + 3x = -7 + -4x + 4x Combine like terms: -4x + 4x = 0 8 + 3x = -7 + 0 8 + 3x = -7 Add '-8' to each side of the equation. 8 + -8 + 3x = -7 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = -7 + -8 3x = -7 + -8 Combine like terms: -7 + -8 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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