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Simplifying [10 + -5(x + -2)] = (x + 1) Reorder the terms: [10 + -5(-2 + x)] = (x + 1) [10 + (-2 * -5 + x * -5)] = (x + 1) [10 + (10 + -5x)] = (x + 1) Combine like terms: 10 + 10 = 20 [20 + -5x] = (x + 1) Remove brackets around [20 + -5x] 20 + -5x = (x + 1) Reorder the terms: 20 + -5x = (1 + x) Remove parenthesis around (1 + x) 20 + -5x = 1 + x Solving 20 + -5x = 1 + x 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. 20 + -5x + -1x = 1 + x + -1x Combine like terms: -5x + -1x = -6x 20 + -6x = 1 + x + -1x Combine like terms: x + -1x = 0 20 + -6x = 1 + 0 20 + -6x = 1 Add '-20' to each side of the equation. 20 + -20 + -6x = 1 + -20 Combine like terms: 20 + -20 = 0 0 + -6x = 1 + -20 -6x = 1 + -20 Combine like terms: 1 + -20 = -19 -6x = -19 Divide each side by '-6'. x = 3.166666667 Simplifying x = 3.166666667
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