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