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