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Simplifying 4x + 2.5 + -1.7x = 0.9x + -5.2 Reorder the terms: 2.5 + 4x + -1.7x = 0.9x + -5.2 Combine like terms: 4x + -1.7x = 2.3x 2.5 + 2.3x = 0.9x + -5.2 Reorder the terms: 2.5 + 2.3x = -5.2 + 0.9x Solving 2.5 + 2.3x = -5.2 + 0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9x' to each side of the equation. 2.5 + 2.3x + -0.9x = -5.2 + 0.9x + -0.9x Combine like terms: 2.3x + -0.9x = 1.4x 2.5 + 1.4x = -5.2 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 2.5 + 1.4x = -5.2 + 0.0 2.5 + 1.4x = -5.2 Add '-2.5' to each side of the equation. 2.5 + -2.5 + 1.4x = -5.2 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 1.4x = -5.2 + -2.5 1.4x = -5.2 + -2.5 Combine like terms: -5.2 + -2.5 = -7.7 1.4x = -7.7 Divide each side by '1.4'. x = -5.5 Simplifying x = -5.5
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