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Simplifying (x + -5) + -1(x + -6) = (2x + -3) + -118 Reorder the terms: (-5 + x) + -1(x + -6) = (2x + -3) + -118 Remove parenthesis around (-5 + x) -5 + x + -1(x + -6) = (2x + -3) + -118 Reorder the terms: -5 + x + -1(-6 + x) = (2x + -3) + -118 -5 + x + (-6 * -1 + x * -1) = (2x + -3) + -118 -5 + x + (6 + -1x) = (2x + -3) + -118 Reorder the terms: -5 + 6 + x + -1x = (2x + -3) + -118 Combine like terms: -5 + 6 = 1 1 + x + -1x = (2x + -3) + -118 Combine like terms: x + -1x = 0 1 + 0 = (2x + -3) + -118 1 = (2x + -3) + -118 Reorder the terms: 1 = (-3 + 2x) + -118 Remove parenthesis around (-3 + 2x) 1 = -3 + 2x + -118 Reorder the terms: 1 = -3 + -118 + 2x Combine like terms: -3 + -118 = -121 1 = -121 + 2x Solving 1 = -121 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 1 + -2x = -121 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + -2x = -121 + 0 1 + -2x = -121 Add '-1' to each side of the equation. 1 + -1 + -2x = -121 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = -121 + -1 -2x = -121 + -1 Combine like terms: -121 + -1 = -122 -2x = -122 Divide each side by '-2'. x = 61 Simplifying x = 61
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