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Simplifying 0.66(9x + 12) + -4 = 6(x + -1) + 2 Reorder the terms: 0.66(12 + 9x) + -4 = 6(x + -1) + 2 (12 * 0.66 + 9x * 0.66) + -4 = 6(x + -1) + 2 (7.92 + 5.94x) + -4 = 6(x + -1) + 2 Reorder the terms: 7.92 + -4 + 5.94x = 6(x + -1) + 2 Combine like terms: 7.92 + -4 = 3.92 3.92 + 5.94x = 6(x + -1) + 2 Reorder the terms: 3.92 + 5.94x = 6(-1 + x) + 2 3.92 + 5.94x = (-1 * 6 + x * 6) + 2 3.92 + 5.94x = (-6 + 6x) + 2 Reorder the terms: 3.92 + 5.94x = -6 + 2 + 6x Combine like terms: -6 + 2 = -4 3.92 + 5.94x = -4 + 6x Solving 3.92 + 5.94x = -4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 3.92 + 5.94x + -6x = -4 + 6x + -6x Combine like terms: 5.94x + -6x = -0.06x 3.92 + -0.06x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 3.92 + -0.06x = -4 + 0 3.92 + -0.06x = -4 Add '-3.92' to each side of the equation. 3.92 + -3.92 + -0.06x = -4 + -3.92 Combine like terms: 3.92 + -3.92 = 0.00 0.00 + -0.06x = -4 + -3.92 -0.06x = -4 + -3.92 Combine like terms: -4 + -3.92 = -7.92 -0.06x = -7.92 Divide each side by '-0.06'. x = 132 Simplifying x = 132
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