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Simplifying 0.5x + 6 = 2.5x + -16 Reorder the terms: 6 + 0.5x = 2.5x + -16 Reorder the terms: 6 + 0.5x = -16 + 2.5x Solving 6 + 0.5x = -16 + 2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5x' to each side of the equation. 6 + 0.5x + -2.5x = -16 + 2.5x + -2.5x Combine like terms: 0.5x + -2.5x = -2x 6 + -2x = -16 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 6 + -2x = -16 + 0.0 6 + -2x = -16 Add '-6' to each side of the equation. 6 + -6 + -2x = -16 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = -16 + -6 -2x = -16 + -6 Combine like terms: -16 + -6 = -22 -2x = -22 Divide each side by '-2'. x = 11 Simplifying x = 11
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