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Simplifying 2x + 6 = 8x + (-4) Reorder the terms: 6 + 2x = 8x + (-4) 6 + 2x = 8x + -4 Reorder the terms: 6 + 2x = -4 + 8x Solving 6 + 2x = -4 + 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. 6 + 2x + -8x = -4 + 8x + -8x Combine like terms: 2x + -8x = -6x 6 + -6x = -4 + 8x + -8x Combine like terms: 8x + -8x = 0 6 + -6x = -4 + 0 6 + -6x = -4 Add '-6' to each side of the equation. 6 + -6 + -6x = -4 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = -4 + -6 -6x = -4 + -6 Combine like terms: -4 + -6 = -10 -6x = -10 Divide each side by '-6'. x = 1.666666667 Simplifying x = 1.666666667
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