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Simplifying 0.8x + 0.4 = 8.4 + -15.6 + -1.2x Reorder the terms: 0.4 + 0.8x = 8.4 + -15.6 + -1.2x Combine like terms: 8.4 + -15.6 = -7.2 0.4 + 0.8x = -7.2 + -1.2x Solving 0.4 + 0.8x = -7.2 + -1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.2x' to each side of the equation. 0.4 + 0.8x + 1.2x = -7.2 + -1.2x + 1.2x Combine like terms: 0.8x + 1.2x = 2x 0.4 + 2x = -7.2 + -1.2x + 1.2x Combine like terms: -1.2x + 1.2x = 0.0 0.4 + 2x = -7.2 + 0.0 0.4 + 2x = -7.2 Add '-0.4' to each side of the equation. 0.4 + -0.4 + 2x = -7.2 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 2x = -7.2 + -0.4 2x = -7.2 + -0.4 Combine like terms: -7.2 + -0.4 = -7.6 2x = -7.6 Divide each side by '2'. x = -3.8 Simplifying x = -3.8
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