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Simplifying 5x + -6x + -1(7x + 7) = 0 Reorder the terms: 5x + -6x + -1(7 + 7x) = 0 5x + -6x + (7 * -1 + 7x * -1) = 0 5x + -6x + (-7 + -7x) = 0 Reorder the terms: -7 + 5x + -6x + -7x = 0 Combine like terms: 5x + -6x = -1x -7 + -1x + -7x = 0 Combine like terms: -1x + -7x = -8x -7 + -8x = 0 Solving -7 + -8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -8x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -8x = 0 + 7 -8x = 0 + 7 Combine like terms: 0 + 7 = 7 -8x = 7 Divide each side by '-8'. x = -0.875 Simplifying x = -0.875
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