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Simplifying 2x + -6 + 8 = 4x + 2 + -10 Reorder the terms: -6 + 8 + 2x = 4x + 2 + -10 Combine like terms: -6 + 8 = 2 2 + 2x = 4x + 2 + -10 Reorder the terms: 2 + 2x = 2 + -10 + 4x Combine like terms: 2 + -10 = -8 2 + 2x = -8 + 4x Solving 2 + 2x = -8 + 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. 2 + 2x + -4x = -8 + 4x + -4x Combine like terms: 2x + -4x = -2x 2 + -2x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + -2x = -8 + 0 2 + -2x = -8 Add '-2' to each side of the equation. 2 + -2 + -2x = -8 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = -8 + -2 -2x = -8 + -2 Combine like terms: -8 + -2 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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