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Simplifying 7 + 5[1 + 2(2x + 5)] = 6(x + 7) Reorder the terms: 7 + 5[1 + 2(5 + 2x)] = 6(x + 7) 7 + 5[1 + (5 * 2 + 2x * 2)] = 6(x + 7) 7 + 5[1 + (10 + 4x)] = 6(x + 7) Combine like terms: 1 + 10 = 11 7 + 5[11 + 4x] = 6(x + 7) 7 + [11 * 5 + 4x * 5] = 6(x + 7) 7 + [55 + 20x] = 6(x + 7) Combine like terms: 7 + 55 = 62 62 + 20x = 6(x + 7) Reorder the terms: 62 + 20x = 6(7 + x) 62 + 20x = (7 * 6 + x * 6) 62 + 20x = (42 + 6x) Solving 62 + 20x = 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. 62 + 20x + -6x = 42 + 6x + -6x Combine like terms: 20x + -6x = 14x 62 + 14x = 42 + 6x + -6x Combine like terms: 6x + -6x = 0 62 + 14x = 42 + 0 62 + 14x = 42 Add '-62' to each side of the equation. 62 + -62 + 14x = 42 + -62 Combine like terms: 62 + -62 = 0 0 + 14x = 42 + -62 14x = 42 + -62 Combine like terms: 42 + -62 = -20 14x = -20 Divide each side by '14'. x = -1.428571429 Simplifying x = -1.428571429
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