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Simplifying 7x + 5(7x + 3) = 6x + 6 Reorder the terms: 7x + 5(3 + 7x) = 6x + 6 7x + (3 * 5 + 7x * 5) = 6x + 6 7x + (15 + 35x) = 6x + 6 Reorder the terms: 15 + 7x + 35x = 6x + 6 Combine like terms: 7x + 35x = 42x 15 + 42x = 6x + 6 Reorder the terms: 15 + 42x = 6 + 6x Solving 15 + 42x = 6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 15 + 42x + -6x = 6 + 6x + -6x Combine like terms: 42x + -6x = 36x 15 + 36x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 15 + 36x = 6 + 0 15 + 36x = 6 Add '-15' to each side of the equation. 15 + -15 + 36x = 6 + -15 Combine like terms: 15 + -15 = 0 0 + 36x = 6 + -15 36x = 6 + -15 Combine like terms: 6 + -15 = -9 36x = -9 Divide each side by '36'. x = -0.25 Simplifying x = -0.25
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