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Simplifying 7x = 9 + -2(5x + -2) Reorder the terms: 7x = 9 + -2(-2 + 5x) 7x = 9 + (-2 * -2 + 5x * -2) 7x = 9 + (4 + -10x) Combine like terms: 9 + 4 = 13 7x = 13 + -10x Solving 7x = 13 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 7x + 10x = 13 + -10x + 10x Combine like terms: 7x + 10x = 17x 17x = 13 + -10x + 10x Combine like terms: -10x + 10x = 0 17x = 13 + 0 17x = 13 Divide each side by '17'. x = 0.7647058824 Simplifying x = 0.7647058824
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