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Simplifying 7(10x + 2) = 2x(30 + -5) Reorder the terms: 7(2 + 10x) = 2x(30 + -5) (2 * 7 + 10x * 7) = 2x(30 + -5) (14 + 70x) = 2x(30 + -5) Combine like terms: 30 + -5 = 25 14 + 70x = 2x(25) Reorder the terms for easier multiplication: 14 + 70x = 2 * 25x Multiply 2 * 25 14 + 70x = 50x Solving 14 + 70x = 50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50x' to each side of the equation. 14 + 70x + -50x = 50x + -50x Combine like terms: 70x + -50x = 20x 14 + 20x = 50x + -50x Combine like terms: 50x + -50x = 0 14 + 20x = 0 Add '-14' to each side of the equation. 14 + -14 + 20x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 20x = 0 + -14 20x = 0 + -14 Combine like terms: 0 + -14 = -14 20x = -14 Divide each side by '20'. x = -0.7 Simplifying x = -0.7
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