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Simplifying 0.66(x + -4) = 3(x + 6) Reorder the terms: 0.66(-4 + x) = 3(x + 6) (-4 * 0.66 + x * 0.66) = 3(x + 6) (-2.64 + 0.66x) = 3(x + 6) Reorder the terms: -2.64 + 0.66x = 3(6 + x) -2.64 + 0.66x = (6 * 3 + x * 3) -2.64 + 0.66x = (18 + 3x) Solving -2.64 + 0.66x = 18 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -2.64 + 0.66x + -3x = 18 + 3x + -3x Combine like terms: 0.66x + -3x = -2.34x -2.64 + -2.34x = 18 + 3x + -3x Combine like terms: 3x + -3x = 0 -2.64 + -2.34x = 18 + 0 -2.64 + -2.34x = 18 Add '2.64' to each side of the equation. -2.64 + 2.64 + -2.34x = 18 + 2.64 Combine like terms: -2.64 + 2.64 = 0.00 0.00 + -2.34x = 18 + 2.64 -2.34x = 18 + 2.64 Combine like terms: 18 + 2.64 = 20.64 -2.34x = 20.64 Divide each side by '-2.34'. x = -8.820512821 Simplifying x = -8.820512821
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