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Simplifying 0.4x + 3.2 = 2.5x + -1 Reorder the terms: 3.2 + 0.4x = 2.5x + -1 Reorder the terms: 3.2 + 0.4x = -1 + 2.5x Solving 3.2 + 0.4x = -1 + 2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5x' to each side of the equation. 3.2 + 0.4x + -2.5x = -1 + 2.5x + -2.5x Combine like terms: 0.4x + -2.5x = -2.1x 3.2 + -2.1x = -1 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 3.2 + -2.1x = -1 + 0.0 3.2 + -2.1x = -1 Add '-3.2' to each side of the equation. 3.2 + -3.2 + -2.1x = -1 + -3.2 Combine like terms: 3.2 + -3.2 = 0.0 0.0 + -2.1x = -1 + -3.2 -2.1x = -1 + -3.2 Combine like terms: -1 + -3.2 = -4.2 -2.1x = -4.2 Divide each side by '-2.1'. x = 2 Simplifying x = 2
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