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Simplifying 6x + 6 = 9 + -1(9x + -5) Reorder the terms: 6 + 6x = 9 + -1(9x + -5) Reorder the terms: 6 + 6x = 9 + -1(-5 + 9x) 6 + 6x = 9 + (-5 * -1 + 9x * -1) 6 + 6x = 9 + (5 + -9x) Combine like terms: 9 + 5 = 14 6 + 6x = 14 + -9x Solving 6 + 6x = 14 + -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. 6 + 6x + 9x = 14 + -9x + 9x Combine like terms: 6x + 9x = 15x 6 + 15x = 14 + -9x + 9x Combine like terms: -9x + 9x = 0 6 + 15x = 14 + 0 6 + 15x = 14 Add '-6' to each side of the equation. 6 + -6 + 15x = 14 + -6 Combine like terms: 6 + -6 = 0 0 + 15x = 14 + -6 15x = 14 + -6 Combine like terms: 14 + -6 = 8 15x = 8 Divide each side by '15'. x = 0.5333333333 Simplifying x = 0.5333333333
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