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Simplifying 7(2x + 6) + 9(7x + -3x) = 0 Reorder the terms: 7(6 + 2x) + 9(7x + -3x) = 0 (6 * 7 + 2x * 7) + 9(7x + -3x) = 0 (42 + 14x) + 9(7x + -3x) = 0 Combine like terms: 7x + -3x = 4x 42 + 14x + 9(4x) = 0 Remove parenthesis around (4x) 42 + 14x + 9 * 4x = 0 Multiply 9 * 4 42 + 14x + 36x = 0 Combine like terms: 14x + 36x = 50x 42 + 50x = 0 Solving 42 + 50x = 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 + 50x = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 50x = 0 + -42 50x = 0 + -42 Combine like terms: 0 + -42 = -42 50x = -42 Divide each side by '50'. x = -0.84 Simplifying x = -0.84
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