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Simplifying 0.5x + 11 = 4 + -3x Reorder the terms: 11 + 0.5x = 4 + -3x Solving 11 + 0.5x = 4 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 11 + 0.5x + 3x = 4 + -3x + 3x Combine like terms: 0.5x + 3x = 3.5x 11 + 3.5x = 4 + -3x + 3x Combine like terms: -3x + 3x = 0 11 + 3.5x = 4 + 0 11 + 3.5x = 4 Add '-11' to each side of the equation. 11 + -11 + 3.5x = 4 + -11 Combine like terms: 11 + -11 = 0 0 + 3.5x = 4 + -11 3.5x = 4 + -11 Combine like terms: 4 + -11 = -7 3.5x = -7 Divide each side by '3.5'. x = -2 Simplifying x = -2
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