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Simplifying 7.5 + -0.25x = 40 + -1.5x Solving 7.5 + -0.25x = 40 + -1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5x' to each side of the equation. 7.5 + -0.25x + 1.5x = 40 + -1.5x + 1.5x Combine like terms: -0.25x + 1.5x = 1.25x 7.5 + 1.25x = 40 + -1.5x + 1.5x Combine like terms: -1.5x + 1.5x = 0.0 7.5 + 1.25x = 40 + 0.0 7.5 + 1.25x = 40 Add '-7.5' to each side of the equation. 7.5 + -7.5 + 1.25x = 40 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + 1.25x = 40 + -7.5 1.25x = 40 + -7.5 Combine like terms: 40 + -7.5 = 32.5 1.25x = 32.5 Divide each side by '1.25'. x = 26 Simplifying x = 26
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