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Simplifying 5.9 + -1(3x + 2.4) = 0.5x Reorder the terms: 5.9 + -1(2.4 + 3x) = 0.5x 5.9 + (2.4 * -1 + 3x * -1) = 0.5x 5.9 + (-2.4 + -3x) = 0.5x Combine like terms: 5.9 + -2.4 = 3.5 3.5 + -3x = 0.5x Solving 3.5 + -3x = 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 3.5 + -3x + -0.5x = 0.5x + -0.5x Combine like terms: -3x + -0.5x = -3.5x 3.5 + -3.5x = 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 3.5 + -3.5x = 0.0 Add '-3.5' to each side of the equation. 3.5 + -3.5 + -3.5x = 0.0 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + -3.5x = 0.0 + -3.5 -3.5x = 0.0 + -3.5 Combine like terms: 0.0 + -3.5 = -3.5 -3.5x = -3.5 Divide each side by '-3.5'. x = 1 Simplifying x = 1
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