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Simplifying 4x + 8 = 5 + -1(9x + -6) Reorder the terms: 8 + 4x = 5 + -1(9x + -6) Reorder the terms: 8 + 4x = 5 + -1(-6 + 9x) 8 + 4x = 5 + (-6 * -1 + 9x * -1) 8 + 4x = 5 + (6 + -9x) Combine like terms: 5 + 6 = 11 8 + 4x = 11 + -9x Solving 8 + 4x = 11 + -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. 8 + 4x + 9x = 11 + -9x + 9x Combine like terms: 4x + 9x = 13x 8 + 13x = 11 + -9x + 9x Combine like terms: -9x + 9x = 0 8 + 13x = 11 + 0 8 + 13x = 11 Add '-8' to each side of the equation. 8 + -8 + 13x = 11 + -8 Combine like terms: 8 + -8 = 0 0 + 13x = 11 + -8 13x = 11 + -8 Combine like terms: 11 + -8 = 3 13x = 3 Divide each side by '13'. x = 0.2307692308 Simplifying x = 0.2307692308
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