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Simplifying 3[5 + 2(2x + -2)] = 9x + -8 Reorder the terms: 3[5 + 2(-2 + 2x)] = 9x + -8 3[5 + (-2 * 2 + 2x * 2)] = 9x + -8 3[5 + (-4 + 4x)] = 9x + -8 Combine like terms: 5 + -4 = 1 3[1 + 4x] = 9x + -8 [1 * 3 + 4x * 3] = 9x + -8 [3 + 12x] = 9x + -8 Reorder the terms: 3 + 12x = -8 + 9x Solving 3 + 12x = -8 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 3 + 12x + -9x = -8 + 9x + -9x Combine like terms: 12x + -9x = 3x 3 + 3x = -8 + 9x + -9x Combine like terms: 9x + -9x = 0 3 + 3x = -8 + 0 3 + 3x = -8 Add '-3' to each side of the equation. 3 + -3 + 3x = -8 + -3 Combine like terms: 3 + -3 = 0 0 + 3x = -8 + -3 3x = -8 + -3 Combine like terms: -8 + -3 = -11 3x = -11 Divide each side by '3'. x = -3.666666667 Simplifying x = -3.666666667
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