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Simplifying 2x + 6 = -0.5x + 11 Reorder the terms: 6 + 2x = -0.5x + 11 Reorder the terms: 6 + 2x = 11 + -0.5x Solving 6 + 2x = 11 + -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. 6 + 2x + 0.5x = 11 + -0.5x + 0.5x Combine like terms: 2x + 0.5x = 2.5x 6 + 2.5x = 11 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 6 + 2.5x = 11 + 0.0 6 + 2.5x = 11 Add '-6' to each side of the equation. 6 + -6 + 2.5x = 11 + -6 Combine like terms: 6 + -6 = 0 0 + 2.5x = 11 + -6 2.5x = 11 + -6 Combine like terms: 11 + -6 = 5 2.5x = 5 Divide each side by '2.5'. x = 2 Simplifying x = 2
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