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Simplifying 0.4x + -2.5 = 1.3x + 4.7 Reorder the terms: -2.5 + 0.4x = 1.3x + 4.7 Reorder the terms: -2.5 + 0.4x = 4.7 + 1.3x Solving -2.5 + 0.4x = 4.7 + 1.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.3x' to each side of the equation. -2.5 + 0.4x + -1.3x = 4.7 + 1.3x + -1.3x Combine like terms: 0.4x + -1.3x = -0.9x -2.5 + -0.9x = 4.7 + 1.3x + -1.3x Combine like terms: 1.3x + -1.3x = 0.0 -2.5 + -0.9x = 4.7 + 0.0 -2.5 + -0.9x = 4.7 Add '2.5' to each side of the equation. -2.5 + 2.5 + -0.9x = 4.7 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + -0.9x = 4.7 + 2.5 -0.9x = 4.7 + 2.5 Combine like terms: 4.7 + 2.5 = 7.2 -0.9x = 7.2 Divide each side by '-0.9'. x = -8 Simplifying x = -8
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