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Simplifying 5.2 + -1.3x = 1.5x + -0.4 Reorder the terms: 5.2 + -1.3x = -0.4 + 1.5x Solving 5.2 + -1.3x = -0.4 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. 5.2 + -1.3x + -1.5x = -0.4 + 1.5x + -1.5x Combine like terms: -1.3x + -1.5x = -2.8x 5.2 + -2.8x = -0.4 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 5.2 + -2.8x = -0.4 + 0.0 5.2 + -2.8x = -0.4 Add '-5.2' to each side of the equation. 5.2 + -5.2 + -2.8x = -0.4 + -5.2 Combine like terms: 5.2 + -5.2 = 0.0 0.0 + -2.8x = -0.4 + -5.2 -2.8x = -0.4 + -5.2 Combine like terms: -0.4 + -5.2 = -5.6 -2.8x = -5.6 Divide each side by '-2.8'. x = 2 Simplifying x = 2
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