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Simplifying 0.66(3x + 9) = -2(2x + 6) Reorder the terms: 0.66(9 + 3x) = -2(2x + 6) (9 * 0.66 + 3x * 0.66) = -2(2x + 6) (5.94 + 1.98x) = -2(2x + 6) Reorder the terms: 5.94 + 1.98x = -2(6 + 2x) 5.94 + 1.98x = (6 * -2 + 2x * -2) 5.94 + 1.98x = (-12 + -4x) Solving 5.94 + 1.98x = -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. 5.94 + 1.98x + 4x = -12 + -4x + 4x Combine like terms: 1.98x + 4x = 5.98x 5.94 + 5.98x = -12 + -4x + 4x Combine like terms: -4x + 4x = 0 5.94 + 5.98x = -12 + 0 5.94 + 5.98x = -12 Add '-5.94' to each side of the equation. 5.94 + -5.94 + 5.98x = -12 + -5.94 Combine like terms: 5.94 + -5.94 = 0.00 0.00 + 5.98x = -12 + -5.94 5.98x = -12 + -5.94 Combine like terms: -12 + -5.94 = -17.94 5.98x = -17.94 Divide each side by '5.98'. x = -3 Simplifying x = -3
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