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Simplifying 3(x + -2) = 0.66(2x + 3) + 2 Reorder the terms: 3(-2 + x) = 0.66(2x + 3) + 2 (-2 * 3 + x * 3) = 0.66(2x + 3) + 2 (-6 + 3x) = 0.66(2x + 3) + 2 Reorder the terms: -6 + 3x = 0.66(3 + 2x) + 2 -6 + 3x = (3 * 0.66 + 2x * 0.66) + 2 -6 + 3x = (1.98 + 1.32x) + 2 Reorder the terms: -6 + 3x = 1.98 + 2 + 1.32x Combine like terms: 1.98 + 2 = 3.98 -6 + 3x = 3.98 + 1.32x Solving -6 + 3x = 3.98 + 1.32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.32x' to each side of the equation. -6 + 3x + -1.32x = 3.98 + 1.32x + -1.32x Combine like terms: 3x + -1.32x = 1.68x -6 + 1.68x = 3.98 + 1.32x + -1.32x Combine like terms: 1.32x + -1.32x = 0.00 -6 + 1.68x = 3.98 + 0.00 -6 + 1.68x = 3.98 Add '6' to each side of the equation. -6 + 6 + 1.68x = 3.98 + 6 Combine like terms: -6 + 6 = 0 0 + 1.68x = 3.98 + 6 1.68x = 3.98 + 6 Combine like terms: 3.98 + 6 = 9.98 1.68x = 9.98 Divide each side by '1.68'. x = 5.94047619 Simplifying x = 5.94047619
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