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Simplifying 3(4x + 4) + 7(x + -1) = 0 Reorder the terms: 3(4 + 4x) + 7(x + -1) = 0 (4 * 3 + 4x * 3) + 7(x + -1) = 0 (12 + 12x) + 7(x + -1) = 0 Reorder the terms: 12 + 12x + 7(-1 + x) = 0 12 + 12x + (-1 * 7 + x * 7) = 0 12 + 12x + (-7 + 7x) = 0 Reorder the terms: 12 + -7 + 12x + 7x = 0 Combine like terms: 12 + -7 = 5 5 + 12x + 7x = 0 Combine like terms: 12x + 7x = 19x 5 + 19x = 0 Solving 5 + 19x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 19x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 19x = 0 + -5 19x = 0 + -5 Combine like terms: 0 + -5 = -5 19x = -5 Divide each side by '19'. x = -0.2631578947 Simplifying x = -0.2631578947
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