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Simplifying 5 + 3[1 + 2(2x + -3)] = 6x + 30 Reorder the terms: 5 + 3[1 + 2(-3 + 2x)] = 6x + 30 5 + 3[1 + (-3 * 2 + 2x * 2)] = 6x + 30 5 + 3[1 + (-6 + 4x)] = 6x + 30 Combine like terms: 1 + -6 = -5 5 + 3[-5 + 4x] = 6x + 30 5 + [-5 * 3 + 4x * 3] = 6x + 30 5 + [-15 + 12x] = 6x + 30 Combine like terms: 5 + -15 = -10 -10 + 12x = 6x + 30 Reorder the terms: -10 + 12x = 30 + 6x Solving -10 + 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. -10 + 12x + -6x = 30 + 6x + -6x Combine like terms: 12x + -6x = 6x -10 + 6x = 30 + 6x + -6x Combine like terms: 6x + -6x = 0 -10 + 6x = 30 + 0 -10 + 6x = 30 Add '10' to each side of the equation. -10 + 10 + 6x = 30 + 10 Combine like terms: -10 + 10 = 0 0 + 6x = 30 + 10 6x = 30 + 10 Combine like terms: 30 + 10 = 40 6x = 40 Divide each side by '6'. x = 6.666666667 Simplifying x = 6.666666667
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