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Simplifying 5(5x + 3) * 2 + 7 = 3x + 5 + -7x + -2 Reorder the terms: 5(3 + 5x) * 2 + 7 = 3x + 5 + -7x + -2 Reorder the terms for easier multiplication: 5 * 2(3 + 5x) + 7 = 3x + 5 + -7x + -2 Multiply 5 * 2 10(3 + 5x) + 7 = 3x + 5 + -7x + -2 (3 * 10 + 5x * 10) + 7 = 3x + 5 + -7x + -2 (30 + 50x) + 7 = 3x + 5 + -7x + -2 Reorder the terms: 30 + 7 + 50x = 3x + 5 + -7x + -2 Combine like terms: 30 + 7 = 37 37 + 50x = 3x + 5 + -7x + -2 Reorder the terms: 37 + 50x = 5 + -2 + 3x + -7x Combine like terms: 5 + -2 = 3 37 + 50x = 3 + 3x + -7x Combine like terms: 3x + -7x = -4x 37 + 50x = 3 + -4x Solving 37 + 50x = 3 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 37 + 50x + 4x = 3 + -4x + 4x Combine like terms: 50x + 4x = 54x 37 + 54x = 3 + -4x + 4x Combine like terms: -4x + 4x = 0 37 + 54x = 3 + 0 37 + 54x = 3 Add '-37' to each side of the equation. 37 + -37 + 54x = 3 + -37 Combine like terms: 37 + -37 = 0 0 + 54x = 3 + -37 54x = 3 + -37 Combine like terms: 3 + -37 = -34 54x = -34 Divide each side by '54'. x = -0.6296296296 Simplifying x = -0.6296296296
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