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Simplifying 0.3333(5x + 3) + -0.25(x + 5) = 4 Reorder the terms: 0.3333(3 + 5x) + -0.25(x + 5) = 4 (3 * 0.3333 + 5x * 0.3333) + -0.25(x + 5) = 4 (0.9999 + 1.6665x) + -0.25(x + 5) = 4 Reorder the terms: 0.9999 + 1.6665x + -0.25(5 + x) = 4 0.9999 + 1.6665x + (5 * -0.25 + x * -0.25) = 4 0.9999 + 1.6665x + (-1.25 + -0.25x) = 4 Reorder the terms: 0.9999 + -1.25 + 1.6665x + -0.25x = 4 Combine like terms: 0.9999 + -1.25 = -0.2501 -0.2501 + 1.6665x + -0.25x = 4 Combine like terms: 1.6665x + -0.25x = 1.4165x -0.2501 + 1.4165x = 4 Solving -0.2501 + 1.4165x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.2501' to each side of the equation. -0.2501 + 0.2501 + 1.4165x = 4 + 0.2501 Combine like terms: -0.2501 + 0.2501 = 0.0000 0.0000 + 1.4165x = 4 + 0.2501 1.4165x = 4 + 0.2501 Combine like terms: 4 + 0.2501 = 4.2501 1.4165x = 4.2501 Divide each side by '1.4165'. x = 3.000423579 Simplifying x = 3.000423579
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