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Simplifying 9x + 2 = 4 + -1(6x + -8) Reorder the terms: 2 + 9x = 4 + -1(6x + -8) Reorder the terms: 2 + 9x = 4 + -1(-8 + 6x) 2 + 9x = 4 + (-8 * -1 + 6x * -1) 2 + 9x = 4 + (8 + -6x) Combine like terms: 4 + 8 = 12 2 + 9x = 12 + -6x Solving 2 + 9x = 12 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 2 + 9x + 6x = 12 + -6x + 6x Combine like terms: 9x + 6x = 15x 2 + 15x = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 2 + 15x = 12 + 0 2 + 15x = 12 Add '-2' to each side of the equation. 2 + -2 + 15x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 15x = 12 + -2 15x = 12 + -2 Combine like terms: 12 + -2 = 10 15x = 10 Divide each side by '15'. x = 0.6666666667 Simplifying x = 0.6666666667
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