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Simplifying 0.4x + -1.5 = 2.4x + 2.6 Reorder the terms: -1.5 + 0.4x = 2.4x + 2.6 Reorder the terms: -1.5 + 0.4x = 2.6 + 2.4x Solving -1.5 + 0.4x = 2.6 + 2.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.4x' to each side of the equation. -1.5 + 0.4x + -2.4x = 2.6 + 2.4x + -2.4x Combine like terms: 0.4x + -2.4x = -2x -1.5 + -2x = 2.6 + 2.4x + -2.4x Combine like terms: 2.4x + -2.4x = 0.0 -1.5 + -2x = 2.6 + 0.0 -1.5 + -2x = 2.6 Add '1.5' to each side of the equation. -1.5 + 1.5 + -2x = 2.6 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + -2x = 2.6 + 1.5 -2x = 2.6 + 1.5 Combine like terms: 2.6 + 1.5 = 4.1 -2x = 4.1 Divide each side by '-2'. x = -2.05 Simplifying x = -2.05
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