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Simplifying 0.10x + 0.25(x + 7) + 0.05(2)(x + 3) = 3.35 Reorder the terms: 0.10x + 0.25(7 + x) + 0.05(2)(x + 3) = 3.35 0.10x + (7 * 0.25 + x * 0.25) + 0.05(2)(x + 3) = 3.35 0.10x + (1.75 + 0.25x) + 0.05(2)(x + 3) = 3.35 Reorder the terms: 0.10x + 1.75 + 0.25x + 0.05 * 2(3 + x) = 3.35 Multiply 0.05 * 2 0.10x + 1.75 + 0.25x + 0.1(3 + x) = 3.35 0.10x + 1.75 + 0.25x + (3 * 0.1 + x * 0.1) = 3.35 0.10x + 1.75 + 0.25x + (0.3 + 0.1x) = 3.35 Reorder the terms: 1.75 + 0.3 + 0.10x + 0.25x + 0.1x = 3.35 Combine like terms: 1.75 + 0.3 = 2.05 2.05 + 0.10x + 0.25x + 0.1x = 3.35 Combine like terms: 0.10x + 0.25x = 0.35x 2.05 + 0.35x + 0.1x = 3.35 Combine like terms: 0.35x + 0.1x = 0.45x 2.05 + 0.45x = 3.35 Solving 2.05 + 0.45x = 3.35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.05' to each side of the equation. 2.05 + -2.05 + 0.45x = 3.35 + -2.05 Combine like terms: 2.05 + -2.05 = 0.00 0.00 + 0.45x = 3.35 + -2.05 0.45x = 3.35 + -2.05 Combine like terms: 3.35 + -2.05 = 1.3 0.45x = 1.3 Divide each side by '0.45'. x = 2.888888889 Simplifying x = 2.888888889
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