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Simplifying -3x + -1(1.6 + 0.5x) = 2.4 + -5.5x -3x + (1.6 * -1 + 0.5x * -1) = 2.4 + -5.5x -3x + (-1.6 + -0.5x) = 2.4 + -5.5x Reorder the terms: -1.6 + -3x + -0.5x = 2.4 + -5.5x Combine like terms: -3x + -0.5x = -3.5x -1.6 + -3.5x = 2.4 + -5.5x Solving -1.6 + -3.5x = 2.4 + -5.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5.5x' to each side of the equation. -1.6 + -3.5x + 5.5x = 2.4 + -5.5x + 5.5x Combine like terms: -3.5x + 5.5x = 2x -1.6 + 2x = 2.4 + -5.5x + 5.5x Combine like terms: -5.5x + 5.5x = 0.0 -1.6 + 2x = 2.4 + 0.0 -1.6 + 2x = 2.4 Add '1.6' to each side of the equation. -1.6 + 1.6 + 2x = 2.4 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + 2x = 2.4 + 1.6 2x = 2.4 + 1.6 Combine like terms: 2.4 + 1.6 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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