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Simplifying 5 + 3[1 + 2(2x + -8)] = 6(x + 5) Reorder the terms: 5 + 3[1 + 2(-8 + 2x)] = 6(x + 5) 5 + 3[1 + (-8 * 2 + 2x * 2)] = 6(x + 5) 5 + 3[1 + (-16 + 4x)] = 6(x + 5) Combine like terms: 1 + -16 = -15 5 + 3[-15 + 4x] = 6(x + 5) 5 + [-15 * 3 + 4x * 3] = 6(x + 5) 5 + [-45 + 12x] = 6(x + 5) Combine like terms: 5 + -45 = -40 -40 + 12x = 6(x + 5) Reorder the terms: -40 + 12x = 6(5 + x) -40 + 12x = (5 * 6 + x * 6) -40 + 12x = (30 + 6x) Solving -40 + 12x = 30 + 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. -40 + 12x + -6x = 30 + 6x + -6x Combine like terms: 12x + -6x = 6x -40 + 6x = 30 + 6x + -6x Combine like terms: 6x + -6x = 0 -40 + 6x = 30 + 0 -40 + 6x = 30 Add '40' to each side of the equation. -40 + 40 + 6x = 30 + 40 Combine like terms: -40 + 40 = 0 0 + 6x = 30 + 40 6x = 30 + 40 Combine like terms: 30 + 40 = 70 6x = 70 Divide each side by '6'. x = 11.66666667 Simplifying x = 11.66666667
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