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Simplifying 5(X + 2) + -2(2X + 3) = 34 + -5X Reorder the terms: 5(2 + X) + -2(2X + 3) = 34 + -5X (2 * 5 + X * 5) + -2(2X + 3) = 34 + -5X (10 + 5X) + -2(2X + 3) = 34 + -5X Reorder the terms: 10 + 5X + -2(3 + 2X) = 34 + -5X 10 + 5X + (3 * -2 + 2X * -2) = 34 + -5X 10 + 5X + (-6 + -4X) = 34 + -5X Reorder the terms: 10 + -6 + 5X + -4X = 34 + -5X Combine like terms: 10 + -6 = 4 4 + 5X + -4X = 34 + -5X Combine like terms: 5X + -4X = 1X 4 + 1X = 34 + -5X Solving 4 + 1X = 34 + -5X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '5X' to each side of the equation. 4 + 1X + 5X = 34 + -5X + 5X Combine like terms: 1X + 5X = 6X 4 + 6X = 34 + -5X + 5X Combine like terms: -5X + 5X = 0 4 + 6X = 34 + 0 4 + 6X = 34 Add '-4' to each side of the equation. 4 + -4 + 6X = 34 + -4 Combine like terms: 4 + -4 = 0 0 + 6X = 34 + -4 6X = 34 + -4 Combine like terms: 34 + -4 = 30 6X = 30 Divide each side by '6'. X = 5 Simplifying X = 5
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