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Simplifying -0.51x + -3.2 = 0.8x + 7.28 Reorder the terms: -3.2 + -0.51x = 0.8x + 7.28 Reorder the terms: -3.2 + -0.51x = 7.28 + 0.8x Solving -3.2 + -0.51x = 7.28 + 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. -3.2 + -0.51x + -0.8x = 7.28 + 0.8x + -0.8x Combine like terms: -0.51x + -0.8x = -1.31x -3.2 + -1.31x = 7.28 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 -3.2 + -1.31x = 7.28 + 0.0 -3.2 + -1.31x = 7.28 Add '3.2' to each side of the equation. -3.2 + 3.2 + -1.31x = 7.28 + 3.2 Combine like terms: -3.2 + 3.2 = 0.0 0.0 + -1.31x = 7.28 + 3.2 -1.31x = 7.28 + 3.2 Combine like terms: 7.28 + 3.2 = 10.48 -1.31x = 10.48 Divide each side by '-1.31'. x = -8 Simplifying x = -8
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