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Simplifying 7(6x + -7) + 10x = 0 Reorder the terms: 7(-7 + 6x) + 10x = 0 (-7 * 7 + 6x * 7) + 10x = 0 (-49 + 42x) + 10x = 0 Combine like terms: 42x + 10x = 52x -49 + 52x = 0 Solving -49 + 52x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + 52x = 0 + 49 Combine like terms: -49 + 49 = 0 0 + 52x = 0 + 49 52x = 0 + 49 Combine like terms: 0 + 49 = 49 52x = 49 Divide each side by '52'. x = 0.9423076923 Simplifying x = 0.9423076923
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