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Simplifying 5(5x + 3) * 10 + 7 = x + (5 + 7x) + -2 Reorder the terms: 5(3 + 5x) * 10 + 7 = x + (5 + 7x) + -2 Reorder the terms for easier multiplication: 5 * 10(3 + 5x) + 7 = x + (5 + 7x) + -2 Multiply 5 * 10 50(3 + 5x) + 7 = x + (5 + 7x) + -2 (3 * 50 + 5x * 50) + 7 = x + (5 + 7x) + -2 (150 + 250x) + 7 = x + (5 + 7x) + -2 Reorder the terms: 150 + 7 + 250x = x + (5 + 7x) + -2 Combine like terms: 150 + 7 = 157 157 + 250x = x + (5 + 7x) + -2 Remove parenthesis around (5 + 7x) 157 + 250x = x + 5 + 7x + -2 Reorder the terms: 157 + 250x = 5 + -2 + x + 7x Combine like terms: 5 + -2 = 3 157 + 250x = 3 + x + 7x Combine like terms: x + 7x = 8x 157 + 250x = 3 + 8x Solving 157 + 250x = 3 + 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. 157 + 250x + -8x = 3 + 8x + -8x Combine like terms: 250x + -8x = 242x 157 + 242x = 3 + 8x + -8x Combine like terms: 8x + -8x = 0 157 + 242x = 3 + 0 157 + 242x = 3 Add '-157' to each side of the equation. 157 + -157 + 242x = 3 + -157 Combine like terms: 157 + -157 = 0 0 + 242x = 3 + -157 242x = 3 + -157 Combine like terms: 3 + -157 = -154 242x = -154 Divide each side by '242'. x = -0.6363636364 Simplifying x = -0.6363636364
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