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Simplifying 9 + -1(7 + -1x) = 21 + 2(5 + 3x) 9 + (7 * -1 + -1x * -1) = 21 + 2(5 + 3x) 9 + (-7 + 1x) = 21 + 2(5 + 3x) Combine like terms: 9 + -7 = 2 2 + 1x = 21 + 2(5 + 3x) 2 + 1x = 21 + (5 * 2 + 3x * 2) 2 + 1x = 21 + (10 + 6x) Combine like terms: 21 + 10 = 31 2 + 1x = 31 + 6x Solving 2 + 1x = 31 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 2 + 1x + -6x = 31 + 6x + -6x Combine like terms: 1x + -6x = -5x 2 + -5x = 31 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + -5x = 31 + 0 2 + -5x = 31 Add '-2' to each side of the equation. 2 + -2 + -5x = 31 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 31 + -2 -5x = 31 + -2 Combine like terms: 31 + -2 = 29 -5x = 29 Divide each side by '-5'. x = -5.8 Simplifying x = -5.8
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