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