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Simplifying 80 + -1(91x + -28) = 30 + -1(3x + 66) Reorder the terms: 80 + -1(-28 + 91x) = 30 + -1(3x + 66) 80 + (-28 * -1 + 91x * -1) = 30 + -1(3x + 66) 80 + (28 + -91x) = 30 + -1(3x + 66) Combine like terms: 80 + 28 = 108 108 + -91x = 30 + -1(3x + 66) Reorder the terms: 108 + -91x = 30 + -1(66 + 3x) 108 + -91x = 30 + (66 * -1 + 3x * -1) 108 + -91x = 30 + (-66 + -3x) Combine like terms: 30 + -66 = -36 108 + -91x = -36 + -3x Solving 108 + -91x = -36 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 108 + -91x + 3x = -36 + -3x + 3x Combine like terms: -91x + 3x = -88x 108 + -88x = -36 + -3x + 3x Combine like terms: -3x + 3x = 0 108 + -88x = -36 + 0 108 + -88x = -36 Add '-108' to each side of the equation. 108 + -108 + -88x = -36 + -108 Combine like terms: 108 + -108 = 0 0 + -88x = -36 + -108 -88x = -36 + -108 Combine like terms: -36 + -108 = -144 -88x = -144 Divide each side by '-88'. x = 1.636363636 Simplifying x = 1.636363636
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