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Simplifying 6x + 109 = 4x + 7 Reorder the terms: 109 + 6x = 4x + 7 Reorder the terms: 109 + 6x = 7 + 4x Solving 109 + 6x = 7 + 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. 109 + 6x + -4x = 7 + 4x + -4x Combine like terms: 6x + -4x = 2x 109 + 2x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 109 + 2x = 7 + 0 109 + 2x = 7 Add '-109' to each side of the equation. 109 + -109 + 2x = 7 + -109 Combine like terms: 109 + -109 = 0 0 + 2x = 7 + -109 2x = 7 + -109 Combine like terms: 7 + -109 = -102 2x = -102 Divide each side by '2'. x = -51 Simplifying x = -51
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