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Simplifying 6x + 2 = 7 + -1(8x + -3) Reorder the terms: 2 + 6x = 7 + -1(8x + -3) Reorder the terms: 2 + 6x = 7 + -1(-3 + 8x) 2 + 6x = 7 + (-3 * -1 + 8x * -1) 2 + 6x = 7 + (3 + -8x) Combine like terms: 7 + 3 = 10 2 + 6x = 10 + -8x Solving 2 + 6x = 10 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 2 + 6x + 8x = 10 + -8x + 8x Combine like terms: 6x + 8x = 14x 2 + 14x = 10 + -8x + 8x Combine like terms: -8x + 8x = 0 2 + 14x = 10 + 0 2 + 14x = 10 Add '-2' to each side of the equation. 2 + -2 + 14x = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 14x = 10 + -2 14x = 10 + -2 Combine like terms: 10 + -2 = 8 14x = 8 Divide each side by '14'. x = 0.5714285714 Simplifying x = 0.5714285714
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