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Simplifying 19(6x + -23) = 16(x + 5) Reorder the terms: 19(-23 + 6x) = 16(x + 5) (-23 * 19 + 6x * 19) = 16(x + 5) (-437 + 114x) = 16(x + 5) Reorder the terms: -437 + 114x = 16(5 + x) -437 + 114x = (5 * 16 + x * 16) -437 + 114x = (80 + 16x) Solving -437 + 114x = 80 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -437 + 114x + -16x = 80 + 16x + -16x Combine like terms: 114x + -16x = 98x -437 + 98x = 80 + 16x + -16x Combine like terms: 16x + -16x = 0 -437 + 98x = 80 + 0 -437 + 98x = 80 Add '437' to each side of the equation. -437 + 437 + 98x = 80 + 437 Combine like terms: -437 + 437 = 0 0 + 98x = 80 + 437 98x = 80 + 437 Combine like terms: 80 + 437 = 517 98x = 517 Divide each side by '98'. x = 5.275510204 Simplifying x = 5.275510204
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