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Simplifying -5 + -1(-4x + 1) = 8 + 2(x + 4) Reorder the terms: -5 + -1(1 + -4x) = 8 + 2(x + 4) -5 + (1 * -1 + -4x * -1) = 8 + 2(x + 4) -5 + (-1 + 4x) = 8 + 2(x + 4) Combine like terms: -5 + -1 = -6 -6 + 4x = 8 + 2(x + 4) Reorder the terms: -6 + 4x = 8 + 2(4 + x) -6 + 4x = 8 + (4 * 2 + x * 2) -6 + 4x = 8 + (8 + 2x) Combine like terms: 8 + 8 = 16 -6 + 4x = 16 + 2x Solving -6 + 4x = 16 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6 + 4x + -2x = 16 + 2x + -2x Combine like terms: 4x + -2x = 2x -6 + 2x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 2x = 16 + 0 -6 + 2x = 16 Add '6' to each side of the equation. -6 + 6 + 2x = 16 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 16 + 6 2x = 16 + 6 Combine like terms: 16 + 6 = 22 2x = 22 Divide each side by '2'. x = 11 Simplifying x = 11
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