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Simplifying 8 + 3[1 + 2(2x + -3)] = 6(x + 8) Reorder the terms: 8 + 3[1 + 2(-3 + 2x)] = 6(x + 8) 8 + 3[1 + (-3 * 2 + 2x * 2)] = 6(x + 8) 8 + 3[1 + (-6 + 4x)] = 6(x + 8) Combine like terms: 1 + -6 = -5 8 + 3[-5 + 4x] = 6(x + 8) 8 + [-5 * 3 + 4x * 3] = 6(x + 8) 8 + [-15 + 12x] = 6(x + 8) Combine like terms: 8 + -15 = -7 -7 + 12x = 6(x + 8) Reorder the terms: -7 + 12x = 6(8 + x) -7 + 12x = (8 * 6 + x * 6) -7 + 12x = (48 + 6x) Solving -7 + 12x = 48 + 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. -7 + 12x + -6x = 48 + 6x + -6x Combine like terms: 12x + -6x = 6x -7 + 6x = 48 + 6x + -6x Combine like terms: 6x + -6x = 0 -7 + 6x = 48 + 0 -7 + 6x = 48 Add '7' to each side of the equation. -7 + 7 + 6x = 48 + 7 Combine like terms: -7 + 7 = 0 0 + 6x = 48 + 7 6x = 48 + 7 Combine like terms: 48 + 7 = 55 6x = 55 Divide each side by '6'. x = 9.166666667 Simplifying x = 9.166666667
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