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Simplifying 0.5x + -7 = 3.9x + -24 Reorder the terms: -7 + 0.5x = 3.9x + -24 Reorder the terms: -7 + 0.5x = -24 + 3.9x Solving -7 + 0.5x = -24 + 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. -7 + 0.5x + -3.9x = -24 + 3.9x + -3.9x Combine like terms: 0.5x + -3.9x = -3.4x -7 + -3.4x = -24 + 3.9x + -3.9x Combine like terms: 3.9x + -3.9x = 0.0 -7 + -3.4x = -24 + 0.0 -7 + -3.4x = -24 Add '7' to each side of the equation. -7 + 7 + -3.4x = -24 + 7 Combine like terms: -7 + 7 = 0 0 + -3.4x = -24 + 7 -3.4x = -24 + 7 Combine like terms: -24 + 7 = -17 -3.4x = -17 Divide each side by '-3.4'. x = 5 Simplifying x = 5
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