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Simplifying 2.5x + 6 = 0.5x + -2 Reorder the terms: 6 + 2.5x = 0.5x + -2 Reorder the terms: 6 + 2.5x = -2 + 0.5x Solving 6 + 2.5x = -2 + 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 + 2.5x + -0.5x = -2 + 0.5x + -0.5x Combine like terms: 2.5x + -0.5x = 2x 6 + 2x = -2 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 6 + 2x = -2 + 0.0 6 + 2x = -2 Add '-6' to each side of the equation. 6 + -6 + 2x = -2 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = -2 + -6 2x = -2 + -6 Combine like terms: -2 + -6 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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