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Simplifying 45 + 0.35x = 55 + 1.25x Solving 45 + 0.35x = 55 + 1.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.25x' to each side of the equation. 45 + 0.35x + -1.25x = 55 + 1.25x + -1.25x Combine like terms: 0.35x + -1.25x = -0.9x 45 + -0.9x = 55 + 1.25x + -1.25x Combine like terms: 1.25x + -1.25x = 0.00 45 + -0.9x = 55 + 0.00 45 + -0.9x = 55 Add '-45' to each side of the equation. 45 + -45 + -0.9x = 55 + -45 Combine like terms: 45 + -45 = 0 0 + -0.9x = 55 + -45 -0.9x = 55 + -45 Combine like terms: 55 + -45 = 10 -0.9x = 10 Divide each side by '-0.9'. x = -11.11111111 Simplifying x = -11.11111111
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