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Simplifying 0.10x + 0.25(x + 7) + 0.05(2)(x + 7) = 3.35 Reorder the terms: 0.10x + 0.25(7 + x) + 0.05(2)(x + 7) = 3.35 0.10x + (7 * 0.25 + x * 0.25) + 0.05(2)(x + 7) = 3.35 0.10x + (1.75 + 0.25x) + 0.05(2)(x + 7) = 3.35 Reorder the terms: 0.10x + 1.75 + 0.25x + 0.05 * 2(7 + x) = 3.35 Multiply 0.05 * 2 0.10x + 1.75 + 0.25x + 0.1(7 + x) = 3.35 0.10x + 1.75 + 0.25x + (7 * 0.1 + x * 0.1) = 3.35 0.10x + 1.75 + 0.25x + (0.7 + 0.1x) = 3.35 Reorder the terms: 1.75 + 0.7 + 0.10x + 0.25x + 0.1x = 3.35 Combine like terms: 1.75 + 0.7 = 2.45 2.45 + 0.10x + 0.25x + 0.1x = 3.35 Combine like terms: 0.10x + 0.25x = 0.35x 2.45 + 0.35x + 0.1x = 3.35 Combine like terms: 0.35x + 0.1x = 0.45x 2.45 + 0.45x = 3.35 Solving 2.45 + 0.45x = 3.35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.45' to each side of the equation. 2.45 + -2.45 + 0.45x = 3.35 + -2.45 Combine like terms: 2.45 + -2.45 = 0.00 0.00 + 0.45x = 3.35 + -2.45 0.45x = 3.35 + -2.45 Combine like terms: 3.35 + -2.45 = 0.9 0.45x = 0.9 Divide each side by '0.45'. x = 2 Simplifying x = 2
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