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Simplifying (0.27x + 2) = 0.35x + 1 Reorder the terms: (2 + 0.27x) = 0.35x + 1 Remove parenthesis around (2 + 0.27x) 2 + 0.27x = 0.35x + 1 Reorder the terms: 2 + 0.27x = 1 + 0.35x Solving 2 + 0.27x = 1 + 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. 2 + 0.27x + -0.35x = 1 + 0.35x + -0.35x Combine like terms: 0.27x + -0.35x = -0.08x 2 + -0.08x = 1 + 0.35x + -0.35x Combine like terms: 0.35x + -0.35x = 0.00 2 + -0.08x = 1 + 0.00 2 + -0.08x = 1 Add '-2' to each side of the equation. 2 + -2 + -0.08x = 1 + -2 Combine like terms: 2 + -2 = 0 0 + -0.08x = 1 + -2 -0.08x = 1 + -2 Combine like terms: 1 + -2 = -1 -0.08x = -1 Divide each side by '-0.08'. x = 12.5 Simplifying x = 12.5
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