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Simplifying (2x + 12) + (6x + -10) = 74 Reorder the terms: (12 + 2x) + (6x + -10) = 74 Remove parenthesis around (12 + 2x) 12 + 2x + (6x + -10) = 74 Reorder the terms: 12 + 2x + (-10 + 6x) = 74 Remove parenthesis around (-10 + 6x) 12 + 2x + -10 + 6x = 74 Reorder the terms: 12 + -10 + 2x + 6x = 74 Combine like terms: 12 + -10 = 2 2 + 2x + 6x = 74 Combine like terms: 2x + 6x = 8x 2 + 8x = 74 Solving 2 + 8x = 74 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 8x = 74 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = 74 + -2 8x = 74 + -2 Combine like terms: 74 + -2 = 72 8x = 72 Divide each side by '8'. x = 9 Simplifying x = 9
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