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Simplifying 6.565 = 65(x + 1) Reorder the terms: 6.565 = 65(1 + x) 6.565 = (1 * 65 + x * 65) 6.565 = (65 + 65x) Solving 6.565 = 65 + 65x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-65x' to each side of the equation. 6.565 + -65x = 65 + 65x + -65x Combine like terms: 65x + -65x = 0 6.565 + -65x = 65 + 0 6.565 + -65x = 65 Add '-6.565' to each side of the equation. 6.565 + -6.565 + -65x = 65 + -6.565 Combine like terms: 6.565 + -6.565 = 0.000 0.000 + -65x = 65 + -6.565 -65x = 65 + -6.565 Combine like terms: 65 + -6.565 = 58.435 -65x = 58.435 Divide each side by '-65'. x = -0.899 Simplifying x = -0.899
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