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Simplifying 7(5x + 1) = 3(x + 2) Reorder the terms: 7(1 + 5x) = 3(x + 2) (1 * 7 + 5x * 7) = 3(x + 2) (7 + 35x) = 3(x + 2) Reorder the terms: 7 + 35x = 3(2 + x) 7 + 35x = (2 * 3 + x * 3) 7 + 35x = (6 + 3x) Solving 7 + 35x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 7 + 35x + -3x = 6 + 3x + -3x Combine like terms: 35x + -3x = 32x 7 + 32x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + 32x = 6 + 0 7 + 32x = 6 Add '-7' to each side of the equation. 7 + -7 + 32x = 6 + -7 Combine like terms: 7 + -7 = 0 0 + 32x = 6 + -7 32x = 6 + -7 Combine like terms: 6 + -7 = -1 32x = -1 Divide each side by '32'. x = -0.03125 Simplifying x = -0.03125
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