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Simplifying 55 + 0.25x = 45 + 0.10x Solving 55 + 0.25x = 45 + 0.10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.10x' to each side of the equation. 55 + 0.25x + -0.10x = 45 + 0.10x + -0.10x Combine like terms: 0.25x + -0.10x = 0.15x 55 + 0.15x = 45 + 0.10x + -0.10x Combine like terms: 0.10x + -0.10x = 0.00 55 + 0.15x = 45 + 0.00 55 + 0.15x = 45 Add '-55' to each side of the equation. 55 + -55 + 0.15x = 45 + -55 Combine like terms: 55 + -55 = 0 0 + 0.15x = 45 + -55 0.15x = 45 + -55 Combine like terms: 45 + -55 = -10 0.15x = -10 Divide each side by '0.15'. x = -66.66666667 Simplifying x = -66.66666667
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