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Simplifying 0.33(12 + 9) + -0.16(12 + -6) = x + -8 Combine like terms: 12 + 9 = 21 0.33(21) + -0.16(12 + -6) = x + -8 Multiply 0.33 * 21 6.93 + -0.16(12 + -6) = x + -8 Combine like terms: 12 + -6 = 6 6.93 + -0.16(6) = x + -8 Multiply -0.16 * 6 6.93 + -0.96 = x + -8 Combine like terms: 6.93 + -0.96 = 5.97 5.97 = x + -8 Reorder the terms: 5.97 = -8 + x Solving 5.97 = -8 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 5.97 + -1x = -8 + x + -1x Combine like terms: x + -1x = 0 5.97 + -1x = -8 + 0 5.97 + -1x = -8 Add '-5.97' to each side of the equation. 5.97 + -5.97 + -1x = -8 + -5.97 Combine like terms: 5.97 + -5.97 = 0.00 0.00 + -1x = -8 + -5.97 -1x = -8 + -5.97 Combine like terms: -8 + -5.97 = -13.97 -1x = -13.97 Divide each side by '-1'. x = 13.97 Simplifying x = 13.97
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