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Simplifying 4 + -1(x + -1) = 42(x + 2) Reorder the terms: 4 + -1(-1 + x) = 42(x + 2) 4 + (-1 * -1 + x * -1) = 42(x + 2) 4 + (1 + -1x) = 42(x + 2) Combine like terms: 4 + 1 = 5 5 + -1x = 42(x + 2) Reorder the terms: 5 + -1x = 42(2 + x) 5 + -1x = (2 * 42 + x * 42) 5 + -1x = (84 + 42x) Solving 5 + -1x = 84 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. 5 + -1x + -42x = 84 + 42x + -42x Combine like terms: -1x + -42x = -43x 5 + -43x = 84 + 42x + -42x Combine like terms: 42x + -42x = 0 5 + -43x = 84 + 0 5 + -43x = 84 Add '-5' to each side of the equation. 5 + -5 + -43x = 84 + -5 Combine like terms: 5 + -5 = 0 0 + -43x = 84 + -5 -43x = 84 + -5 Combine like terms: 84 + -5 = 79 -43x = 79 Divide each side by '-43'. x = -1.837209302 Simplifying x = -1.837209302
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