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Simplifying (5x + 1) * 7 = 2x + 3 Reorder the terms: (1 + 5x) * 7 = 2x + 3 Reorder the terms for easier multiplication: 7(1 + 5x) = 2x + 3 (1 * 7 + 5x * 7) = 2x + 3 (7 + 35x) = 2x + 3 Reorder the terms: 7 + 35x = 3 + 2x Solving 7 + 35x = 3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 7 + 35x + -2x = 3 + 2x + -2x Combine like terms: 35x + -2x = 33x 7 + 33x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + 33x = 3 + 0 7 + 33x = 3 Add '-7' to each side of the equation. 7 + -7 + 33x = 3 + -7 Combine like terms: 7 + -7 = 0 0 + 33x = 3 + -7 33x = 3 + -7 Combine like terms: 3 + -7 = -4 33x = -4 Divide each side by '33'. x = -0.1212121212 Simplifying x = -0.1212121212
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