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Simplifying 1.5x + 19 = 2.75x + 15 Reorder the terms: 19 + 1.5x = 2.75x + 15 Reorder the terms: 19 + 1.5x = 15 + 2.75x Solving 19 + 1.5x = 15 + 2.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.75x' to each side of the equation. 19 + 1.5x + -2.75x = 15 + 2.75x + -2.75x Combine like terms: 1.5x + -2.75x = -1.25x 19 + -1.25x = 15 + 2.75x + -2.75x Combine like terms: 2.75x + -2.75x = 0.00 19 + -1.25x = 15 + 0.00 19 + -1.25x = 15 Add '-19' to each side of the equation. 19 + -19 + -1.25x = 15 + -19 Combine like terms: 19 + -19 = 0 0 + -1.25x = 15 + -19 -1.25x = 15 + -19 Combine like terms: 15 + -19 = -4 -1.25x = -4 Divide each side by '-1.25'. x = 3.2 Simplifying x = 3.2
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