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Simplifying 1.5 + 0.4x = 0.8x + -5.3 Reorder the terms: 1.5 + 0.4x = -5.3 + 0.8x Solving 1.5 + 0.4x = -5.3 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. 1.5 + 0.4x + -0.8x = -5.3 + 0.8x + -0.8x Combine like terms: 0.4x + -0.8x = -0.4x 1.5 + -0.4x = -5.3 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 1.5 + -0.4x = -5.3 + 0.0 1.5 + -0.4x = -5.3 Add '-1.5' to each side of the equation. 1.5 + -1.5 + -0.4x = -5.3 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -0.4x = -5.3 + -1.5 -0.4x = -5.3 + -1.5 Combine like terms: -5.3 + -1.5 = -6.8 -0.4x = -6.8 Divide each side by '-0.4'. x = 17 Simplifying x = 17
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