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Simplifying 0.5x + -1.5 = 2.6x + 2.2 Reorder the terms: -1.5 + 0.5x = 2.6x + 2.2 Reorder the terms: -1.5 + 0.5x = 2.2 + 2.6x Solving -1.5 + 0.5x = 2.2 + 2.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.6x' to each side of the equation. -1.5 + 0.5x + -2.6x = 2.2 + 2.6x + -2.6x Combine like terms: 0.5x + -2.6x = -2.1x -1.5 + -2.1x = 2.2 + 2.6x + -2.6x Combine like terms: 2.6x + -2.6x = 0.0 -1.5 + -2.1x = 2.2 + 0.0 -1.5 + -2.1x = 2.2 Add '1.5' to each side of the equation. -1.5 + 1.5 + -2.1x = 2.2 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + -2.1x = 2.2 + 1.5 -2.1x = 2.2 + 1.5 Combine like terms: 2.2 + 1.5 = 3.7 -2.1x = 3.7 Divide each side by '-2.1'. x = -1.761904762 Simplifying x = -1.761904762
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