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Simplifying 0.5(8x + -16) = 0.666(6x + 12) Reorder the terms: 0.5(-16 + 8x) = 0.666(6x + 12) (-16 * 0.5 + 8x * 0.5) = 0.666(6x + 12) (-8 + 4x) = 0.666(6x + 12) Reorder the terms: -8 + 4x = 0.666(12 + 6x) -8 + 4x = (12 * 0.666 + 6x * 0.666) -8 + 4x = (7.992 + 3.996x) Solving -8 + 4x = 7.992 + 3.996x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.996x' to each side of the equation. -8 + 4x + -3.996x = 7.992 + 3.996x + -3.996x Combine like terms: 4x + -3.996x = 0.004x -8 + 0.004x = 7.992 + 3.996x + -3.996x Combine like terms: 3.996x + -3.996x = 0.000 -8 + 0.004x = 7.992 + 0.000 -8 + 0.004x = 7.992 Add '8' to each side of the equation. -8 + 8 + 0.004x = 7.992 + 8 Combine like terms: -8 + 8 = 0 0 + 0.004x = 7.992 + 8 0.004x = 7.992 + 8 Combine like terms: 7.992 + 8 = 15.992 0.004x = 15.992 Divide each side by '0.004'. x = 3998 Simplifying x = 3998
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