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Simplifying 5(5x + 3) * 10 + 7 = 3x + (5 + 7x) + -2 Reorder the terms: 5(3 + 5x) * 10 + 7 = 3x + (5 + 7x) + -2 Reorder the terms for easier multiplication: 5 * 10(3 + 5x) + 7 = 3x + (5 + 7x) + -2 Multiply 5 * 10 50(3 + 5x) + 7 = 3x + (5 + 7x) + -2 (3 * 50 + 5x * 50) + 7 = 3x + (5 + 7x) + -2 (150 + 250x) + 7 = 3x + (5 + 7x) + -2 Reorder the terms: 150 + 7 + 250x = 3x + (5 + 7x) + -2 Combine like terms: 150 + 7 = 157 157 + 250x = 3x + (5 + 7x) + -2 Remove parenthesis around (5 + 7x) 157 + 250x = 3x + 5 + 7x + -2 Reorder the terms: 157 + 250x = 5 + -2 + 3x + 7x Combine like terms: 5 + -2 = 3 157 + 250x = 3 + 3x + 7x Combine like terms: 3x + 7x = 10x 157 + 250x = 3 + 10x Solving 157 + 250x = 3 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 157 + 250x + -10x = 3 + 10x + -10x Combine like terms: 250x + -10x = 240x 157 + 240x = 3 + 10x + -10x Combine like terms: 10x + -10x = 0 157 + 240x = 3 + 0 157 + 240x = 3 Add '-157' to each side of the equation. 157 + -157 + 240x = 3 + -157 Combine like terms: 157 + -157 = 0 0 + 240x = 3 + -157 240x = 3 + -157 Combine like terms: 3 + -157 = -154 240x = -154 Divide each side by '240'. x = -0.6416666667 Simplifying x = -0.6416666667
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