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Simplifying 1.3 + 0.1x = 0.6x + -6.2 Reorder the terms: 1.3 + 0.1x = -6.2 + 0.6x Solving 1.3 + 0.1x = -6.2 + 0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6x' to each side of the equation. 1.3 + 0.1x + -0.6x = -6.2 + 0.6x + -0.6x Combine like terms: 0.1x + -0.6x = -0.5x 1.3 + -0.5x = -6.2 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 1.3 + -0.5x = -6.2 + 0.0 1.3 + -0.5x = -6.2 Add '-1.3' to each side of the equation. 1.3 + -1.3 + -0.5x = -6.2 + -1.3 Combine like terms: 1.3 + -1.3 = 0.0 0.0 + -0.5x = -6.2 + -1.3 -0.5x = -6.2 + -1.3 Combine like terms: -6.2 + -1.3 = -7.5 -0.5x = -7.5 Divide each side by '-0.5'. x = 15 Simplifying x = 15
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