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Simplifying (5 + -1x) + -1(x + -7) = 0 Remove parenthesis around (5 + -1x) 5 + -1x + -1(x + -7) = 0 Reorder the terms: 5 + -1x + -1(-7 + x) = 0 5 + -1x + (-7 * -1 + x * -1) = 0 5 + -1x + (7 + -1x) = 0 Reorder the terms: 5 + 7 + -1x + -1x = 0 Combine like terms: 5 + 7 = 12 12 + -1x + -1x = 0 Combine like terms: -1x + -1x = -2x 12 + -2x = 0 Solving 12 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -2x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = 0 + -12 -2x = 0 + -12 Combine like terms: 0 + -12 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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