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Simplifying 0.5x + 7 = -2.5x + 31 Reorder the terms: 7 + 0.5x = -2.5x + 31 Reorder the terms: 7 + 0.5x = 31 + -2.5x Solving 7 + 0.5x = 31 + -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 + 0.5x + 2.5x = 31 + -2.5x + 2.5x Combine like terms: 0.5x + 2.5x = 3x 7 + 3x = 31 + -2.5x + 2.5x Combine like terms: -2.5x + 2.5x = 0.0 7 + 3x = 31 + 0.0 7 + 3x = 31 Add '-7' to each side of the equation. 7 + -7 + 3x = 31 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = 31 + -7 3x = 31 + -7 Combine like terms: 31 + -7 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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