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Simplifying 6x + 2 = 6 + -1(9x + -8) Reorder the terms: 2 + 6x = 6 + -1(9x + -8) Reorder the terms: 2 + 6x = 6 + -1(-8 + 9x) 2 + 6x = 6 + (-8 * -1 + 9x * -1) 2 + 6x = 6 + (8 + -9x) Combine like terms: 6 + 8 = 14 2 + 6x = 14 + -9x Solving 2 + 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. 2 + 6x + 9x = 14 + -9x + 9x Combine like terms: 6x + 9x = 15x 2 + 15x = 14 + -9x + 9x Combine like terms: -9x + 9x = 0 2 + 15x = 14 + 0 2 + 15x = 14 Add '-2' to each side of the equation. 2 + -2 + 15x = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 15x = 14 + -2 15x = 14 + -2 Combine like terms: 14 + -2 = 12 15x = 12 Divide each side by '15'. x = 0.8 Simplifying x = 0.8
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