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Simplifying 10(x + 12(2 + x)) = 20 + 7x 10(x + (2 * 12 + x * 12)) = 20 + 7x 10(x + (24 + 12x)) = 20 + 7x Reorder the terms: 10(24 + x + 12x) = 20 + 7x Combine like terms: x + 12x = 13x 10(24 + 13x) = 20 + 7x (24 * 10 + 13x * 10) = 20 + 7x (240 + 130x) = 20 + 7x Solving 240 + 130x = 20 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 240 + 130x + -7x = 20 + 7x + -7x Combine like terms: 130x + -7x = 123x 240 + 123x = 20 + 7x + -7x Combine like terms: 7x + -7x = 0 240 + 123x = 20 + 0 240 + 123x = 20 Add '-240' to each side of the equation. 240 + -240 + 123x = 20 + -240 Combine like terms: 240 + -240 = 0 0 + 123x = 20 + -240 123x = 20 + -240 Combine like terms: 20 + -240 = -220 123x = -220 Divide each side by '123'. x = -1.788617886 Simplifying x = -1.788617886
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