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Simplifying 8 + -1(4x + 1) = 5 + -5x Reorder the terms: 8 + -1(1 + 4x) = 5 + -5x 8 + (1 * -1 + 4x * -1) = 5 + -5x 8 + (-1 + -4x) = 5 + -5x Combine like terms: 8 + -1 = 7 7 + -4x = 5 + -5x Solving 7 + -4x = 5 + -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. 7 + -4x + 5x = 5 + -5x + 5x Combine like terms: -4x + 5x = 1x 7 + 1x = 5 + -5x + 5x Combine like terms: -5x + 5x = 0 7 + 1x = 5 + 0 7 + 1x = 5 Add '-7' to each side of the equation. 7 + -7 + 1x = 5 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 5 + -7 1x = 5 + -7 Combine like terms: 5 + -7 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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