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Simplifying (2 * 5x) + (2(12 + -2x)) = 30 Multiply 2 * 5 (10x) + (2(12 + -2x)) = 30 (10x) + ((12 * 2 + -2x * 2)) = 30 (10x) + ((24 + -4x)) = 30 (10x) + (24 + -4x) = 30 Remove parenthesis around (24 + -4x) (10x) + 24 + -4x = 30 Reorder the terms: 24 + (10x) + -4x = 30 Combine like terms: (10x) + -4x = 6x 24 + 6x = 30 Solving 24 + 6x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 6x = 30 + -24 Combine like terms: 24 + -24 = 0 0 + 6x = 30 + -24 6x = 30 + -24 Combine like terms: 30 + -24 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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