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Simplifying 0.4x + 0.3 = 5.2x + -6.3 + -0.4x Reorder the terms: 0.3 + 0.4x = 5.2x + -6.3 + -0.4x Reorder the terms: 0.3 + 0.4x = -6.3 + 5.2x + -0.4x Combine like terms: 5.2x + -0.4x = 4.8x 0.3 + 0.4x = -6.3 + 4.8x Solving 0.3 + 0.4x = -6.3 + 4.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.8x' to each side of the equation. 0.3 + 0.4x + -4.8x = -6.3 + 4.8x + -4.8x Combine like terms: 0.4x + -4.8x = -4.4x 0.3 + -4.4x = -6.3 + 4.8x + -4.8x Combine like terms: 4.8x + -4.8x = 0.0 0.3 + -4.4x = -6.3 + 0.0 0.3 + -4.4x = -6.3 Add '-0.3' to each side of the equation. 0.3 + -0.3 + -4.4x = -6.3 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + -4.4x = -6.3 + -0.3 -4.4x = -6.3 + -0.3 Combine like terms: -6.3 + -0.3 = -6.6 -4.4x = -6.6 Divide each side by '-4.4'. x = 1.5 Simplifying x = 1.5
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