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Simplifying 5(x + 6) + 5(7x + 3) = 5 Reorder the terms: 5(6 + x) + 5(7x + 3) = 5 (6 * 5 + x * 5) + 5(7x + 3) = 5 (30 + 5x) + 5(7x + 3) = 5 Reorder the terms: 30 + 5x + 5(3 + 7x) = 5 30 + 5x + (3 * 5 + 7x * 5) = 5 30 + 5x + (15 + 35x) = 5 Reorder the terms: 30 + 15 + 5x + 35x = 5 Combine like terms: 30 + 15 = 45 45 + 5x + 35x = 5 Combine like terms: 5x + 35x = 40x 45 + 40x = 5 Solving 45 + 40x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 40x = 5 + -45 Combine like terms: 45 + -45 = 0 0 + 40x = 5 + -45 40x = 5 + -45 Combine like terms: 5 + -45 = -40 40x = -40 Divide each side by '40'. x = -1 Simplifying x = -1
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