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Simplifying 7 + 3[1 + 2(2x + -3)] = 6x + 42 Reorder the terms: 7 + 3[1 + 2(-3 + 2x)] = 6x + 42 7 + 3[1 + (-3 * 2 + 2x * 2)] = 6x + 42 7 + 3[1 + (-6 + 4x)] = 6x + 42 Combine like terms: 1 + -6 = -5 7 + 3[-5 + 4x] = 6x + 42 7 + [-5 * 3 + 4x * 3] = 6x + 42 7 + [-15 + 12x] = 6x + 42 Combine like terms: 7 + -15 = -8 -8 + 12x = 6x + 42 Reorder the terms: -8 + 12x = 42 + 6x Solving -8 + 12x = 42 + 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. -8 + 12x + -6x = 42 + 6x + -6x Combine like terms: 12x + -6x = 6x -8 + 6x = 42 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + 6x = 42 + 0 -8 + 6x = 42 Add '8' to each side of the equation. -8 + 8 + 6x = 42 + 8 Combine like terms: -8 + 8 = 0 0 + 6x = 42 + 8 6x = 42 + 8 Combine like terms: 42 + 8 = 50 6x = 50 Divide each side by '6'. x = 8.333333333 Simplifying x = 8.333333333
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