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Simplifying 6(x) + 5(19 + -1x) = 107 6x + (19 * 5 + -1x * 5) = 107 6x + (95 + -5x) = 107 Reorder the terms: 95 + 6x + -5x = 107 Combine like terms: 6x + -5x = 1x 95 + 1x = 107 Solving 95 + 1x = 107 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-95' to each side of the equation. 95 + -95 + 1x = 107 + -95 Combine like terms: 95 + -95 = 0 0 + 1x = 107 + -95 1x = 107 + -95 Combine like terms: 107 + -95 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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