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Simplifying 0.66(6x + 12) = 2(2x + 4) Reorder the terms: 0.66(12 + 6x) = 2(2x + 4) (12 * 0.66 + 6x * 0.66) = 2(2x + 4) (7.92 + 3.96x) = 2(2x + 4) Reorder the terms: 7.92 + 3.96x = 2(4 + 2x) 7.92 + 3.96x = (4 * 2 + 2x * 2) 7.92 + 3.96x = (8 + 4x) Solving 7.92 + 3.96x = 8 + 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. 7.92 + 3.96x + -4x = 8 + 4x + -4x Combine like terms: 3.96x + -4x = -0.04x 7.92 + -0.04x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 7.92 + -0.04x = 8 + 0 7.92 + -0.04x = 8 Add '-7.92' to each side of the equation. 7.92 + -7.92 + -0.04x = 8 + -7.92 Combine like terms: 7.92 + -7.92 = 0.00 0.00 + -0.04x = 8 + -7.92 -0.04x = 8 + -7.92 Combine like terms: 8 + -7.92 = 0.08 -0.04x = 0.08 Divide each side by '-0.04'. x = -2 Simplifying x = -2
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