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Simplifying 5(2x + 4) + 4(x + 2) = 98 Reorder the terms: 5(4 + 2x) + 4(x + 2) = 98 (4 * 5 + 2x * 5) + 4(x + 2) = 98 (20 + 10x) + 4(x + 2) = 98 Reorder the terms: 20 + 10x + 4(2 + x) = 98 20 + 10x + (2 * 4 + x * 4) = 98 20 + 10x + (8 + 4x) = 98 Reorder the terms: 20 + 8 + 10x + 4x = 98 Combine like terms: 20 + 8 = 28 28 + 10x + 4x = 98 Combine like terms: 10x + 4x = 14x 28 + 14x = 98 Solving 28 + 14x = 98 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 14x = 98 + -28 Combine like terms: 28 + -28 = 0 0 + 14x = 98 + -28 14x = 98 + -28 Combine like terms: 98 + -28 = 70 14x = 70 Divide each side by '14'. x = 5 Simplifying x = 5
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