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Simplifying 30 + 4x + 2 + (180 + -1(8 + 6x)) = 180 30 + 4x + 2 + (180 + (8 * -1 + 6x * -1)) = 180 30 + 4x + 2 + (180 + (-8 + -6x)) = 180 Combine like terms: 180 + -8 = 172 30 + 4x + 2 + (172 + -6x) = 180 Remove parenthesis around (172 + -6x) 30 + 4x + 2 + 172 + -6x = 180 Reorder the terms: 30 + 2 + 172 + 4x + -6x = 180 Combine like terms: 30 + 2 = 32 32 + 172 + 4x + -6x = 180 Combine like terms: 32 + 172 = 204 204 + 4x + -6x = 180 Combine like terms: 4x + -6x = -2x 204 + -2x = 180 Solving 204 + -2x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-204' to each side of the equation. 204 + -204 + -2x = 180 + -204 Combine like terms: 204 + -204 = 0 0 + -2x = 180 + -204 -2x = 180 + -204 Combine like terms: 180 + -204 = -24 -2x = -24 Divide each side by '-2'. x = 12 Simplifying x = 12
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