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Simplifying 0.666(3x + 9) = -2(2x + 6) Reorder the terms: 0.666(9 + 3x) = -2(2x + 6) (9 * 0.666 + 3x * 0.666) = -2(2x + 6) (5.994 + 1.998x) = -2(2x + 6) Reorder the terms: 5.994 + 1.998x = -2(6 + 2x) 5.994 + 1.998x = (6 * -2 + 2x * -2) 5.994 + 1.998x = (-12 + -4x) Solving 5.994 + 1.998x = -12 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 5.994 + 1.998x + 4x = -12 + -4x + 4x Combine like terms: 1.998x + 4x = 5.998x 5.994 + 5.998x = -12 + -4x + 4x Combine like terms: -4x + 4x = 0 5.994 + 5.998x = -12 + 0 5.994 + 5.998x = -12 Add '-5.994' to each side of the equation. 5.994 + -5.994 + 5.998x = -12 + -5.994 Combine like terms: 5.994 + -5.994 = 0.000 0.000 + 5.998x = -12 + -5.994 5.998x = -12 + -5.994 Combine like terms: -12 + -5.994 = -17.994 5.998x = -17.994 Divide each side by '5.998'. x = -3 Simplifying x = -3
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