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Simplifying 6x + 2.4 + -3.5x = 0.9x + -3.2 Reorder the terms: 2.4 + 6x + -3.5x = 0.9x + -3.2 Combine like terms: 6x + -3.5x = 2.5x 2.4 + 2.5x = 0.9x + -3.2 Reorder the terms: 2.4 + 2.5x = -3.2 + 0.9x Solving 2.4 + 2.5x = -3.2 + 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. 2.4 + 2.5x + -0.9x = -3.2 + 0.9x + -0.9x Combine like terms: 2.5x + -0.9x = 1.6x 2.4 + 1.6x = -3.2 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 2.4 + 1.6x = -3.2 + 0.0 2.4 + 1.6x = -3.2 Add '-2.4' to each side of the equation. 2.4 + -2.4 + 1.6x = -3.2 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + 1.6x = -3.2 + -2.4 1.6x = -3.2 + -2.4 Combine like terms: -3.2 + -2.4 = -5.6 1.6x = -5.6 Divide each side by '1.6'. x = -3.5 Simplifying x = -3.5
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