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Simplifying 10x + 7x + -9(3x + -7x + 6) = 0 Reorder the terms: 10x + 7x + -9(6 + 3x + -7x) = 0 Combine like terms: 3x + -7x = -4x 10x + 7x + -9(6 + -4x) = 0 10x + 7x + (6 * -9 + -4x * -9) = 0 10x + 7x + (-54 + 36x) = 0 Reorder the terms: -54 + 10x + 7x + 36x = 0 Combine like terms: 10x + 7x = 17x -54 + 17x + 36x = 0 Combine like terms: 17x + 36x = 53x -54 + 53x = 0 Solving -54 + 53x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 54 + 53x = 0 + 54 Combine like terms: -54 + 54 = 0 0 + 53x = 0 + 54 53x = 0 + 54 Combine like terms: 0 + 54 = 54 53x = 54 Divide each side by '53'. x = 1.018867925 Simplifying x = 1.018867925
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