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Simplifying 10x + 7(4x + 6) = 0 Reorder the terms: 10x + 7(6 + 4x) = 0 10x + (6 * 7 + 4x * 7) = 0 10x + (42 + 28x) = 0 Reorder the terms: 42 + 10x + 28x = 0 Combine like terms: 10x + 28x = 38x 42 + 38x = 0 Solving 42 + 38x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 38x = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 38x = 0 + -42 38x = 0 + -42 Combine like terms: 0 + -42 = -42 38x = -42 Divide each side by '38'. x = -1.105263158 Simplifying x = -1.105263158
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