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Simplifying 0.3333333(5x + 6) + -0.5(x + 5) = 3 Reorder the terms: 0.3333333(6 + 5x) + -0.5(x + 5) = 3 (6 * 0.3333333 + 5x * 0.3333333) + -0.5(x + 5) = 3 (1.9999998 + 1.6666665x) + -0.5(x + 5) = 3 Reorder the terms: 1.9999998 + 1.6666665x + -0.5(5 + x) = 3 1.9999998 + 1.6666665x + (5 * -0.5 + x * -0.5) = 3 1.9999998 + 1.6666665x + (-2.5 + -0.5x) = 3 Reorder the terms: 1.9999998 + -2.5 + 1.6666665x + -0.5x = 3 Combine like terms: 1.9999998 + -2.5 = -0.5000002 -0.5000002 + 1.6666665x + -0.5x = 3 Combine like terms: 1.6666665x + -0.5x = 1.1666665x -0.5000002 + 1.1666665x = 3 Solving -0.5000002 + 1.1666665x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5000002' to each side of the equation. -0.5000002 + 0.5000002 + 1.1666665x = 3 + 0.5000002 Combine like terms: -0.5000002 + 0.5000002 = 0.0000000 0.0000000 + 1.1666665x = 3 + 0.5000002 1.1666665x = 3 + 0.5000002 Combine like terms: 3 + 0.5000002 = 3.5000002 1.1666665x = 3.5000002 Divide each side by '1.1666665'. x = 3.0000006 Simplifying x = 3.0000006
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