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Simplifying 6x + -7(x + 7) + (2x + -7) * 5 = 0 Reorder the terms: 6x + -7(7 + x) + (2x + -7) * 5 = 0 6x + (7 * -7 + x * -7) + (2x + -7) * 5 = 0 6x + (-49 + -7x) + (2x + -7) * 5 = 0 Reorder the terms: 6x + -49 + -7x + (-7 + 2x) * 5 = 0 Reorder the terms for easier multiplication: 6x + -49 + -7x + 5(-7 + 2x) = 0 6x + -49 + -7x + (-7 * 5 + 2x * 5) = 0 6x + -49 + -7x + (-35 + 10x) = 0 Reorder the terms: -49 + -35 + 6x + -7x + 10x = 0 Combine like terms: -49 + -35 = -84 -84 + 6x + -7x + 10x = 0 Combine like terms: 6x + -7x = -1x -84 + -1x + 10x = 0 Combine like terms: -1x + 10x = 9x -84 + 9x = 0 Solving -84 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '84' to each side of the equation. -84 + 84 + 9x = 0 + 84 Combine like terms: -84 + 84 = 0 0 + 9x = 0 + 84 9x = 0 + 84 Combine like terms: 0 + 84 = 84 9x = 84 Divide each side by '9'. x = 9.333333333 Simplifying x = 9.333333333
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