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Simplifying 9 + -1(2x + 1) + 2 = (5x + 2) Reorder the terms: 9 + -1(1 + 2x) + 2 = (5x + 2) 9 + (1 * -1 + 2x * -1) + 2 = (5x + 2) 9 + (-1 + -2x) + 2 = (5x + 2) Reorder the terms: 9 + -1 + 2 + -2x = (5x + 2) Combine like terms: 9 + -1 = 8 8 + 2 + -2x = (5x + 2) Combine like terms: 8 + 2 = 10 10 + -2x = (5x + 2) Reorder the terms: 10 + -2x = (2 + 5x) Remove parenthesis around (2 + 5x) 10 + -2x = 2 + 5x Solving 10 + -2x = 2 + 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. 10 + -2x + -5x = 2 + 5x + -5x Combine like terms: -2x + -5x = -7x 10 + -7x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + -7x = 2 + 0 10 + -7x = 2 Add '-10' to each side of the equation. 10 + -10 + -7x = 2 + -10 Combine like terms: 10 + -10 = 0 0 + -7x = 2 + -10 -7x = 2 + -10 Combine like terms: 2 + -10 = -8 -7x = -8 Divide each side by '-7'. x = 1.142857143 Simplifying x = 1.142857143
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