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Simplifying 1.6x + 5 = -2.3x + -14.5 Reorder the terms: 5 + 1.6x = -2.3x + -14.5 Reorder the terms: 5 + 1.6x = -14.5 + -2.3x Solving 5 + 1.6x = -14.5 + -2.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.3x' to each side of the equation. 5 + 1.6x + 2.3x = -14.5 + -2.3x + 2.3x Combine like terms: 1.6x + 2.3x = 3.9x 5 + 3.9x = -14.5 + -2.3x + 2.3x Combine like terms: -2.3x + 2.3x = 0.0 5 + 3.9x = -14.5 + 0.0 5 + 3.9x = -14.5 Add '-5' to each side of the equation. 5 + -5 + 3.9x = -14.5 + -5 Combine like terms: 5 + -5 = 0 0 + 3.9x = -14.5 + -5 3.9x = -14.5 + -5 Combine like terms: -14.5 + -5 = -19.5 3.9x = -19.5 Divide each side by '3.9'. x = -5 Simplifying x = -5
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