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Simplifying 0.5x + -2.6 = 1.3x + 2.2 Reorder the terms: -2.6 + 0.5x = 1.3x + 2.2 Reorder the terms: -2.6 + 0.5x = 2.2 + 1.3x Solving -2.6 + 0.5x = 2.2 + 1.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.3x' to each side of the equation. -2.6 + 0.5x + -1.3x = 2.2 + 1.3x + -1.3x Combine like terms: 0.5x + -1.3x = -0.8x -2.6 + -0.8x = 2.2 + 1.3x + -1.3x Combine like terms: 1.3x + -1.3x = 0.0 -2.6 + -0.8x = 2.2 + 0.0 -2.6 + -0.8x = 2.2 Add '2.6' to each side of the equation. -2.6 + 2.6 + -0.8x = 2.2 + 2.6 Combine like terms: -2.6 + 2.6 = 0.0 0.0 + -0.8x = 2.2 + 2.6 -0.8x = 2.2 + 2.6 Combine like terms: 2.2 + 2.6 = 4.8 -0.8x = 4.8 Divide each side by '-0.8'. x = -6 Simplifying x = -6
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