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Simplifying 5(3X + 6) + 2(x + 2) = 49 Reorder the terms: 5(6 + 3X) + 2(x + 2) = 49 (6 * 5 + 3X * 5) + 2(x + 2) = 49 (30 + 15X) + 2(x + 2) = 49 Reorder the terms: 30 + 15X + 2(2 + x) = 49 30 + 15X + (2 * 2 + x * 2) = 49 30 + 15X + (4 + 2x) = 49 Reorder the terms: 30 + 4 + 15X + 2x = 49 Combine like terms: 30 + 4 = 34 34 + 15X + 2x = 49 Solving 34 + 15X + 2x = 49 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + 15X + -34 + 2x = 49 + -34 Reorder the terms: 34 + -34 + 15X + 2x = 49 + -34 Combine like terms: 34 + -34 = 0 0 + 15X + 2x = 49 + -34 15X + 2x = 49 + -34 Combine like terms: 49 + -34 = 15 15X + 2x = 15 Add '-2x' to each side of the equation. 15X + 2x + -2x = 15 + -2x Combine like terms: 2x + -2x = 0 15X + 0 = 15 + -2x 15X = 15 + -2x Divide each side by '15'. X = 1 + -0.1333333333x Simplifying X = 1 + -0.1333333333x
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