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Simplifying 0.5x + -6 = 3.9x + -23 Reorder the terms: -6 + 0.5x = 3.9x + -23 Reorder the terms: -6 + 0.5x = -23 + 3.9x Solving -6 + 0.5x = -23 + 3.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.9x' to each side of the equation. -6 + 0.5x + -3.9x = -23 + 3.9x + -3.9x Combine like terms: 0.5x + -3.9x = -3.4x -6 + -3.4x = -23 + 3.9x + -3.9x Combine like terms: 3.9x + -3.9x = 0.0 -6 + -3.4x = -23 + 0.0 -6 + -3.4x = -23 Add '6' to each side of the equation. -6 + 6 + -3.4x = -23 + 6 Combine like terms: -6 + 6 = 0 0 + -3.4x = -23 + 6 -3.4x = -23 + 6 Combine like terms: -23 + 6 = -17 -3.4x = -17 Divide each side by '-3.4'. x = 5 Simplifying x = 5
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