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