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Simplifying 5x + -1(3x + -1(13 + -2x)) = (6x + -14) + -189 5x + -1(3x + (13 * -1 + -2x * -1)) = (6x + -14) + -189 5x + -1(3x + (-13 + 2x)) = (6x + -14) + -189 Reorder the terms: 5x + -1(-13 + 3x + 2x) = (6x + -14) + -189 Combine like terms: 3x + 2x = 5x 5x + -1(-13 + 5x) = (6x + -14) + -189 5x + (-13 * -1 + 5x * -1) = (6x + -14) + -189 5x + (13 + -5x) = (6x + -14) + -189 Reorder the terms: 13 + 5x + -5x = (6x + -14) + -189 Combine like terms: 5x + -5x = 0 13 + 0 = (6x + -14) + -189 13 = (6x + -14) + -189 Reorder the terms: 13 = (-14 + 6x) + -189 Remove parenthesis around (-14 + 6x) 13 = -14 + 6x + -189 Reorder the terms: 13 = -14 + -189 + 6x Combine like terms: -14 + -189 = -203 13 = -203 + 6x Solving 13 = -203 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 13 + -6x = -203 + 6x + -6x Combine like terms: 6x + -6x = 0 13 + -6x = -203 + 0 13 + -6x = -203 Add '-13' to each side of the equation. 13 + -13 + -6x = -203 + -13 Combine like terms: 13 + -13 = 0 0 + -6x = -203 + -13 -6x = -203 + -13 Combine like terms: -203 + -13 = -216 -6x = -216 Divide each side by '-6'. x = 36 Simplifying x = 36
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