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Simplifying 0.8x + -6 = 3.2x + 3.6 Reorder the terms: -6 + 0.8x = 3.2x + 3.6 Reorder the terms: -6 + 0.8x = 3.6 + 3.2x Solving -6 + 0.8x = 3.6 + 3.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.2x' to each side of the equation. -6 + 0.8x + -3.2x = 3.6 + 3.2x + -3.2x Combine like terms: 0.8x + -3.2x = -2.4x -6 + -2.4x = 3.6 + 3.2x + -3.2x Combine like terms: 3.2x + -3.2x = 0.0 -6 + -2.4x = 3.6 + 0.0 -6 + -2.4x = 3.6 Add '6' to each side of the equation. -6 + 6 + -2.4x = 3.6 + 6 Combine like terms: -6 + 6 = 0 0 + -2.4x = 3.6 + 6 -2.4x = 3.6 + 6 Combine like terms: 3.6 + 6 = 9.6 -2.4x = 9.6 Divide each side by '-2.4'. x = -4 Simplifying x = -4
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