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Simplifying 75 + -5(x + -1) = 13(x + -1) Reorder the terms: 75 + -5(-1 + x) = 13(x + -1) 75 + (-1 * -5 + x * -5) = 13(x + -1) 75 + (5 + -5x) = 13(x + -1) Combine like terms: 75 + 5 = 80 80 + -5x = 13(x + -1) Reorder the terms: 80 + -5x = 13(-1 + x) 80 + -5x = (-1 * 13 + x * 13) 80 + -5x = (-13 + 13x) Solving 80 + -5x = -13 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 80 + -5x + -13x = -13 + 13x + -13x Combine like terms: -5x + -13x = -18x 80 + -18x = -13 + 13x + -13x Combine like terms: 13x + -13x = 0 80 + -18x = -13 + 0 80 + -18x = -13 Add '-80' to each side of the equation. 80 + -80 + -18x = -13 + -80 Combine like terms: 80 + -80 = 0 0 + -18x = -13 + -80 -18x = -13 + -80 Combine like terms: -13 + -80 = -93 -18x = -93 Divide each side by '-18'. x = 5.166666667 Simplifying x = 5.166666667
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