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Simplifying 2(3x + 6) + 5(x + -2) = 123 Reorder the terms: 2(6 + 3x) + 5(x + -2) = 123 (6 * 2 + 3x * 2) + 5(x + -2) = 123 (12 + 6x) + 5(x + -2) = 123 Reorder the terms: 12 + 6x + 5(-2 + x) = 123 12 + 6x + (-2 * 5 + x * 5) = 123 12 + 6x + (-10 + 5x) = 123 Reorder the terms: 12 + -10 + 6x + 5x = 123 Combine like terms: 12 + -10 = 2 2 + 6x + 5x = 123 Combine like terms: 6x + 5x = 11x 2 + 11x = 123 Solving 2 + 11x = 123 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 + 11x = 123 + -2 Combine like terms: 2 + -2 = 0 0 + 11x = 123 + -2 11x = 123 + -2 Combine like terms: 123 + -2 = 121 11x = 121 Divide each side by '11'. x = 11 Simplifying x = 11
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