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Simplifying 0.6x + 1.3 = 5x + -0.46 Reorder the terms: 1.3 + 0.6x = 5x + -0.46 Reorder the terms: 1.3 + 0.6x = -0.46 + 5x Solving 1.3 + 0.6x = -0.46 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 1.3 + 0.6x + -5x = -0.46 + 5x + -5x Combine like terms: 0.6x + -5x = -4.4x 1.3 + -4.4x = -0.46 + 5x + -5x Combine like terms: 5x + -5x = 0 1.3 + -4.4x = -0.46 + 0 1.3 + -4.4x = -0.46 Add '-1.3' to each side of the equation. 1.3 + -1.3 + -4.4x = -0.46 + -1.3 Combine like terms: 1.3 + -1.3 = 0.0 0.0 + -4.4x = -0.46 + -1.3 -4.4x = -0.46 + -1.3 Combine like terms: -0.46 + -1.3 = -1.76 -4.4x = -1.76 Divide each side by '-4.4'. x = 0.4 Simplifying x = 0.4
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