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