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Simplifying 6x + 107 = 2x + 83 Reorder the terms: 107 + 6x = 2x + 83 Reorder the terms: 107 + 6x = 83 + 2x Solving 107 + 6x = 83 + 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. 107 + 6x + -2x = 83 + 2x + -2x Combine like terms: 6x + -2x = 4x 107 + 4x = 83 + 2x + -2x Combine like terms: 2x + -2x = 0 107 + 4x = 83 + 0 107 + 4x = 83 Add '-107' to each side of the equation. 107 + -107 + 4x = 83 + -107 Combine like terms: 107 + -107 = 0 0 + 4x = 83 + -107 4x = 83 + -107 Combine like terms: 83 + -107 = -24 4x = -24 Divide each side by '4'. x = -6 Simplifying x = -6
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