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Simplifying 2[2x(9 + 7.5) + 6] = 6x + 8 Combine like terms: 9 + 7.5 = 16.5 2[2x(16.5) + 6] = 6x + 8 Reorder the terms for easier multiplication: 2[2 * 16.5x + 6] = 6x + 8 Multiply 2 * 16.5 2[33x + 6] = 6x + 8 Reorder the terms: 2[6 + 33x] = 6x + 8 [6 * 2 + 33x * 2] = 6x + 8 [12 + 66x] = 6x + 8 Reorder the terms: 12 + 66x = 8 + 6x Solving 12 + 66x = 8 + 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. 12 + 66x + -6x = 8 + 6x + -6x Combine like terms: 66x + -6x = 60x 12 + 60x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + 60x = 8 + 0 12 + 60x = 8 Add '-12' to each side of the equation. 12 + -12 + 60x = 8 + -12 Combine like terms: 12 + -12 = 0 0 + 60x = 8 + -12 60x = 8 + -12 Combine like terms: 8 + -12 = -4 60x = -4 Divide each side by '60'. x = -0.06666666667 Simplifying x = -0.06666666667
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