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Simplifying 3x + 5 = 4 + -1(9x + -8) Reorder the terms: 5 + 3x = 4 + -1(9x + -8) Reorder the terms: 5 + 3x = 4 + -1(-8 + 9x) 5 + 3x = 4 + (-8 * -1 + 9x * -1) 5 + 3x = 4 + (8 + -9x) Combine like terms: 4 + 8 = 12 5 + 3x = 12 + -9x Solving 5 + 3x = 12 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 5 + 3x + 9x = 12 + -9x + 9x Combine like terms: 3x + 9x = 12x 5 + 12x = 12 + -9x + 9x Combine like terms: -9x + 9x = 0 5 + 12x = 12 + 0 5 + 12x = 12 Add '-5' to each side of the equation. 5 + -5 + 12x = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 12x = 12 + -5 12x = 12 + -5 Combine like terms: 12 + -5 = 7 12x = 7 Divide each side by '12'. x = 0.5833333333 Simplifying x = 0.5833333333
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