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Simplifying 1.5x + 19 = 2.27x + 15 Reorder the terms: 19 + 1.5x = 2.27x + 15 Reorder the terms: 19 + 1.5x = 15 + 2.27x Solving 19 + 1.5x = 15 + 2.27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.27x' to each side of the equation. 19 + 1.5x + -2.27x = 15 + 2.27x + -2.27x Combine like terms: 1.5x + -2.27x = -0.77x 19 + -0.77x = 15 + 2.27x + -2.27x Combine like terms: 2.27x + -2.27x = 0.00 19 + -0.77x = 15 + 0.00 19 + -0.77x = 15 Add '-19' to each side of the equation. 19 + -19 + -0.77x = 15 + -19 Combine like terms: 19 + -19 = 0 0 + -0.77x = 15 + -19 -0.77x = 15 + -19 Combine like terms: 15 + -19 = -4 -0.77x = -4 Divide each side by '-0.77'. x = 5.194805195 Simplifying x = 5.194805195
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