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Simplifying 2x + 7 = 2.5x + -0.5 Reorder the terms: 7 + 2x = 2.5x + -0.5 Reorder the terms: 7 + 2x = -0.5 + 2.5x Solving 7 + 2x = -0.5 + 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. 7 + 2x + -2.5x = -0.5 + 2.5x + -2.5x Combine like terms: 2x + -2.5x = -0.5x 7 + -0.5x = -0.5 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 7 + -0.5x = -0.5 + 0.0 7 + -0.5x = -0.5 Add '-7' to each side of the equation. 7 + -7 + -0.5x = -0.5 + -7 Combine like terms: 7 + -7 = 0 0 + -0.5x = -0.5 + -7 -0.5x = -0.5 + -7 Combine like terms: -0.5 + -7 = -7.5 -0.5x = -7.5 Divide each side by '-0.5'. x = 15 Simplifying x = 15
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