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Simplifying 4(5x + -2) + 3(7x + 5) = 7 Reorder the terms: 4(-2 + 5x) + 3(7x + 5) = 7 (-2 * 4 + 5x * 4) + 3(7x + 5) = 7 (-8 + 20x) + 3(7x + 5) = 7 Reorder the terms: -8 + 20x + 3(5 + 7x) = 7 -8 + 20x + (5 * 3 + 7x * 3) = 7 -8 + 20x + (15 + 21x) = 7 Reorder the terms: -8 + 15 + 20x + 21x = 7 Combine like terms: -8 + 15 = 7 7 + 20x + 21x = 7 Combine like terms: 20x + 21x = 41x 7 + 41x = 7 Add '-7' to each side of the equation. 7 + -7 + 41x = 7 + -7 Combine like terms: 7 + -7 = 0 0 + 41x = 7 + -7 41x = 7 + -7 Combine like terms: 7 + -7 = 0 41x = 0 Solving 41x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '41'. x = 0 Simplifying x = 0
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