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Simplifying 0.666(6x + 3) = 5x + 2 Reorder the terms: 0.666(3 + 6x) = 5x + 2 (3 * 0.666 + 6x * 0.666) = 5x + 2 (1.998 + 3.996x) = 5x + 2 Reorder the terms: 1.998 + 3.996x = 2 + 5x Solving 1.998 + 3.996x = 2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 1.998 + 3.996x + -5x = 2 + 5x + -5x Combine like terms: 3.996x + -5x = -1.004x 1.998 + -1.004x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 1.998 + -1.004x = 2 + 0 1.998 + -1.004x = 2 Add '-1.998' to each side of the equation. 1.998 + -1.998 + -1.004x = 2 + -1.998 Combine like terms: 1.998 + -1.998 = 0.000 0.000 + -1.004x = 2 + -1.998 -1.004x = 2 + -1.998 Combine like terms: 2 + -1.998 = 0.002 -1.004x = 0.002 Divide each side by '-1.004'. x = -0.001992031873 Simplifying x = -0.001992031873
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