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Simplifying 7(5x + 6) = 20 + 4x Reorder the terms: 7(6 + 5x) = 20 + 4x (6 * 7 + 5x * 7) = 20 + 4x (42 + 35x) = 20 + 4x Solving 42 + 35x = 20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 42 + 35x + -4x = 20 + 4x + -4x Combine like terms: 35x + -4x = 31x 42 + 31x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 42 + 31x = 20 + 0 42 + 31x = 20 Add '-42' to each side of the equation. 42 + -42 + 31x = 20 + -42 Combine like terms: 42 + -42 = 0 0 + 31x = 20 + -42 31x = 20 + -42 Combine like terms: 20 + -42 = -22 31x = -22 Divide each side by '31'. x = -0.7096774194 Simplifying x = -0.7096774194
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