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Simplifying 1.5x + 0.51x = -0.5x + -3.49 Combine like terms: 1.5x + 0.51x = 2.01x 2.01x = -0.5x + -3.49 Reorder the terms: 2.01x = -3.49 + -0.5x Solving 2.01x = -3.49 + -0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5x' to each side of the equation. 2.01x + 0.5x = -3.49 + -0.5x + 0.5x Combine like terms: 2.01x + 0.5x = 2.51x 2.51x = -3.49 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 2.51x = -3.49 + 0.0 2.51x = -3.49 Divide each side by '2.51'. x = -1.390438247 Simplifying x = -1.390438247
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