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Simplifying 2(2 + 5x) = (3x + 2) * 7 (2 * 2 + 5x * 2) = (3x + 2) * 7 (4 + 10x) = (3x + 2) * 7 Reorder the terms: 4 + 10x = (2 + 3x) * 7 Reorder the terms for easier multiplication: 4 + 10x = 7(2 + 3x) 4 + 10x = (2 * 7 + 3x * 7) 4 + 10x = (14 + 21x) Solving 4 + 10x = 14 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 4 + 10x + -21x = 14 + 21x + -21x Combine like terms: 10x + -21x = -11x 4 + -11x = 14 + 21x + -21x Combine like terms: 21x + -21x = 0 4 + -11x = 14 + 0 4 + -11x = 14 Add '-4' to each side of the equation. 4 + -4 + -11x = 14 + -4 Combine like terms: 4 + -4 = 0 0 + -11x = 14 + -4 -11x = 14 + -4 Combine like terms: 14 + -4 = 10 -11x = 10 Divide each side by '-11'. x = -0.9090909091 Simplifying x = -0.9090909091
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