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Simplifying 3x + 9 = 5 + -1(9x + -5) Reorder the terms: 9 + 3x = 5 + -1(9x + -5) Reorder the terms: 9 + 3x = 5 + -1(-5 + 9x) 9 + 3x = 5 + (-5 * -1 + 9x * -1) 9 + 3x = 5 + (5 + -9x) Combine like terms: 5 + 5 = 10 9 + 3x = 10 + -9x Solving 9 + 3x = 10 + -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. 9 + 3x + 9x = 10 + -9x + 9x Combine like terms: 3x + 9x = 12x 9 + 12x = 10 + -9x + 9x Combine like terms: -9x + 9x = 0 9 + 12x = 10 + 0 9 + 12x = 10 Add '-9' to each side of the equation. 9 + -9 + 12x = 10 + -9 Combine like terms: 9 + -9 = 0 0 + 12x = 10 + -9 12x = 10 + -9 Combine like terms: 10 + -9 = 1 12x = 1 Divide each side by '12'. x = 0.08333333333 Simplifying x = 0.08333333333
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