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Simplifying 1 + -1(x + -5) = 3 + -1(5x + -5) Reorder the terms: 1 + -1(-5 + x) = 3 + -1(5x + -5) 1 + (-5 * -1 + x * -1) = 3 + -1(5x + -5) 1 + (5 + -1x) = 3 + -1(5x + -5) Combine like terms: 1 + 5 = 6 6 + -1x = 3 + -1(5x + -5) Reorder the terms: 6 + -1x = 3 + -1(-5 + 5x) 6 + -1x = 3 + (-5 * -1 + 5x * -1) 6 + -1x = 3 + (5 + -5x) Combine like terms: 3 + 5 = 8 6 + -1x = 8 + -5x Solving 6 + -1x = 8 + -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. 6 + -1x + 5x = 8 + -5x + 5x Combine like terms: -1x + 5x = 4x 6 + 4x = 8 + -5x + 5x Combine like terms: -5x + 5x = 0 6 + 4x = 8 + 0 6 + 4x = 8 Add '-6' to each side of the equation. 6 + -6 + 4x = 8 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = 8 + -6 4x = 8 + -6 Combine like terms: 8 + -6 = 2 4x = 2 Divide each side by '4'. x = 0.5 Simplifying x = 0.5
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