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Simplifying 0.33333333(5x + 3) + -0.25(x + 5) = 4 Reorder the terms: 0.33333333(3 + 5x) + -0.25(x + 5) = 4 (3 * 0.33333333 + 5x * 0.33333333) + -0.25(x + 5) = 4 (0.99999999 + 1.66666665x) + -0.25(x + 5) = 4 Reorder the terms: 0.99999999 + 1.66666665x + -0.25(5 + x) = 4 0.99999999 + 1.66666665x + (5 * -0.25 + x * -0.25) = 4 0.99999999 + 1.66666665x + (-1.25 + -0.25x) = 4 Reorder the terms: 0.99999999 + -1.25 + 1.66666665x + -0.25x = 4 Combine like terms: 0.99999999 + -1.25 = -0.25000001 -0.25000001 + 1.66666665x + -0.25x = 4 Combine like terms: 1.66666665x + -0.25x = 1.41666665x -0.25000001 + 1.41666665x = 4 Solving -0.25000001 + 1.41666665x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.25000001' to each side of the equation. -0.25000001 + 0.25000001 + 1.41666665x = 4 + 0.25000001 Combine like terms: -0.25000001 + 0.25000001 = 0.00000000 0.00000000 + 1.41666665x = 4 + 0.25000001 1.41666665x = 4 + 0.25000001 Combine like terms: 4 + 0.25000001 = 4.25000001 1.41666665x = 4.25000001 Divide each side by '1.41666665'. x = 3.000000042 Simplifying x = 3.000000042
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