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Simplifying 14x + 5.5 + 5x + 4.5 = 16x + 19 Reorder the terms: 5.5 + 4.5 + 14x + 5x = 16x + 19 Combine like terms: 5.5 + 4.5 = 10 10 + 14x + 5x = 16x + 19 Combine like terms: 14x + 5x = 19x 10 + 19x = 16x + 19 Reorder the terms: 10 + 19x = 19 + 16x Solving 10 + 19x = 19 + 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. 10 + 19x + -16x = 19 + 16x + -16x Combine like terms: 19x + -16x = 3x 10 + 3x = 19 + 16x + -16x Combine like terms: 16x + -16x = 0 10 + 3x = 19 + 0 10 + 3x = 19 Add '-10' to each side of the equation. 10 + -10 + 3x = 19 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = 19 + -10 3x = 19 + -10 Combine like terms: 19 + -10 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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