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Simplifying 5(5x + 3) * 10 = x + (7x) + 2 Reorder the terms: 5(3 + 5x) * 10 = x + (7x) + 2 Reorder the terms for easier multiplication: 5 * 10(3 + 5x) = x + (7x) + 2 Multiply 5 * 10 50(3 + 5x) = x + (7x) + 2 (3 * 50 + 5x * 50) = x + (7x) + 2 (150 + 250x) = x + (7x) + 2 Reorder the terms: 150 + 250x = 2 + x + (7x) Combine like terms: x + (7x) = 8x 150 + 250x = 2 + 8x Solving 150 + 250x = 2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 150 + 250x + -8x = 2 + 8x + -8x Combine like terms: 250x + -8x = 242x 150 + 242x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 150 + 242x = 2 + 0 150 + 242x = 2 Add '-150' to each side of the equation. 150 + -150 + 242x = 2 + -150 Combine like terms: 150 + -150 = 0 0 + 242x = 2 + -150 242x = 2 + -150 Combine like terms: 2 + -150 = -148 242x = -148 Divide each side by '242'. x = -0.6115702479 Simplifying x = -0.6115702479
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