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Simplifying -4(-1x + -8) + -1(3 + 4x) = 4x + -6 + x + -5 Reorder the terms: -4(-8 + -1x) + -1(3 + 4x) = 4x + -6 + x + -5 (-8 * -4 + -1x * -4) + -1(3 + 4x) = 4x + -6 + x + -5 (32 + 4x) + -1(3 + 4x) = 4x + -6 + x + -5 32 + 4x + (3 * -1 + 4x * -1) = 4x + -6 + x + -5 32 + 4x + (-3 + -4x) = 4x + -6 + x + -5 Reorder the terms: 32 + -3 + 4x + -4x = 4x + -6 + x + -5 Combine like terms: 32 + -3 = 29 29 + 4x + -4x = 4x + -6 + x + -5 Combine like terms: 4x + -4x = 0 29 + 0 = 4x + -6 + x + -5 29 = 4x + -6 + x + -5 Reorder the terms: 29 = -6 + -5 + 4x + x Combine like terms: -6 + -5 = -11 29 = -11 + 4x + x Combine like terms: 4x + x = 5x 29 = -11 + 5x Solving 29 = -11 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 29 + -5x = -11 + 5x + -5x Combine like terms: 5x + -5x = 0 29 + -5x = -11 + 0 29 + -5x = -11 Add '-29' to each side of the equation. 29 + -29 + -5x = -11 + -29 Combine like terms: 29 + -29 = 0 0 + -5x = -11 + -29 -5x = -11 + -29 Combine like terms: -11 + -29 = -40 -5x = -40 Divide each side by '-5'. x = 8 Simplifying x = 8
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