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Simplifying (x + -7) + -1(6x + 6) = 0 Reorder the terms: (-7 + x) + -1(6x + 6) = 0 Remove parenthesis around (-7 + x) -7 + x + -1(6x + 6) = 0 Reorder the terms: -7 + x + -1(6 + 6x) = 0 -7 + x + (6 * -1 + 6x * -1) = 0 -7 + x + (-6 + -6x) = 0 Reorder the terms: -7 + -6 + x + -6x = 0 Combine like terms: -7 + -6 = -13 -13 + x + -6x = 0 Combine like terms: x + -6x = -5x -13 + -5x = 0 Solving -13 + -5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -5x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -5x = 0 + 13 -5x = 0 + 13 Combine like terms: 0 + 13 = 13 -5x = 13 Divide each side by '-5'. x = -2.6 Simplifying x = -2.6
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