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Simplifying 2(5x + 1) = 7x Reorder the terms: 2(1 + 5x) = 7x (1 * 2 + 5x * 2) = 7x (2 + 10x) = 7x Solving 2 + 10x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 2 + 10x + -7x = 7x + -7x Combine like terms: 10x + -7x = 3x 2 + 3x = 7x + -7x Combine like terms: 7x + -7x = 0 2 + 3x = 0 Add '-2' to each side of the equation. 2 + -2 + 3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 0 + -2 3x = 0 + -2 Combine like terms: 0 + -2 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667
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