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Simplifying 7 + 2x = 2.5 + 0.5x Solving 7 + 2x = 2.5 + 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. 7 + 2x + -0.5x = 2.5 + 0.5x + -0.5x Combine like terms: 2x + -0.5x = 1.5x 7 + 1.5x = 2.5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 7 + 1.5x = 2.5 + 0.0 7 + 1.5x = 2.5 Add '-7' to each side of the equation. 7 + -7 + 1.5x = 2.5 + -7 Combine like terms: 7 + -7 = 0 0 + 1.5x = 2.5 + -7 1.5x = 2.5 + -7 Combine like terms: 2.5 + -7 = -4.5 1.5x = -4.5 Divide each side by '1.5'. x = -3 Simplifying x = -3
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