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Simplifying 4(2x + 7) + 3(x + -6) = 0 Reorder the terms: 4(7 + 2x) + 3(x + -6) = 0 (7 * 4 + 2x * 4) + 3(x + -6) = 0 (28 + 8x) + 3(x + -6) = 0 Reorder the terms: 28 + 8x + 3(-6 + x) = 0 28 + 8x + (-6 * 3 + x * 3) = 0 28 + 8x + (-18 + 3x) = 0 Reorder the terms: 28 + -18 + 8x + 3x = 0 Combine like terms: 28 + -18 = 10 10 + 8x + 3x = 0 Combine like terms: 8x + 3x = 11x 10 + 11x = 0 Solving 10 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 11x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 11x = 0 + -10 11x = 0 + -10 Combine like terms: 0 + -10 = -10 11x = -10 Divide each side by '11'. x = -0.9090909091 Simplifying x = -0.9090909091
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