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Simplifying 0.5x + -4 = 3.9x + -21 Reorder the terms: -4 + 0.5x = 3.9x + -21 Reorder the terms: -4 + 0.5x = -21 + 3.9x Solving -4 + 0.5x = -21 + 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. -4 + 0.5x + -3.9x = -21 + 3.9x + -3.9x Combine like terms: 0.5x + -3.9x = -3.4x -4 + -3.4x = -21 + 3.9x + -3.9x Combine like terms: 3.9x + -3.9x = 0.0 -4 + -3.4x = -21 + 0.0 -4 + -3.4x = -21 Add '4' to each side of the equation. -4 + 4 + -3.4x = -21 + 4 Combine like terms: -4 + 4 = 0 0 + -3.4x = -21 + 4 -3.4x = -21 + 4 Combine like terms: -21 + 4 = -17 -3.4x = -17 Divide each side by '-3.4'. x = 5 Simplifying x = 5
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