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Simplifying 4x + -14 + 6 = 2x + 20 + 8 Reorder the terms: -14 + 6 + 4x = 2x + 20 + 8 Combine like terms: -14 + 6 = -8 -8 + 4x = 2x + 20 + 8 Reorder the terms: -8 + 4x = 20 + 8 + 2x Combine like terms: 20 + 8 = 28 -8 + 4x = 28 + 2x Solving -8 + 4x = 28 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -8 + 4x + -2x = 28 + 2x + -2x Combine like terms: 4x + -2x = 2x -8 + 2x = 28 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + 2x = 28 + 0 -8 + 2x = 28 Add '8' to each side of the equation. -8 + 8 + 2x = 28 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = 28 + 8 2x = 28 + 8 Combine like terms: 28 + 8 = 36 2x = 36 Divide each side by '2'. x = 18 Simplifying x = 18
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