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Simplifying 40 + 12 + 0.25x = 45 + 0.35x Combine like terms: 40 + 12 = 52 52 + 0.25x = 45 + 0.35x Solving 52 + 0.25x = 45 + 0.35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.35x' to each side of the equation. 52 + 0.25x + -0.35x = 45 + 0.35x + -0.35x Combine like terms: 0.25x + -0.35x = -0.1x 52 + -0.1x = 45 + 0.35x + -0.35x Combine like terms: 0.35x + -0.35x = 0.00 52 + -0.1x = 45 + 0.00 52 + -0.1x = 45 Add '-52' to each side of the equation. 52 + -52 + -0.1x = 45 + -52 Combine like terms: 52 + -52 = 0 0 + -0.1x = 45 + -52 -0.1x = 45 + -52 Combine like terms: 45 + -52 = -7 -0.1x = -7 Divide each side by '-0.1'. x = 70 Simplifying x = 70
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