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Simplifying 3[2(x + 5) + -7] = 5x + 11(3 + -1x) Reorder the terms: 3[2(5 + x) + -7] = 5x + 11(3 + -1x) 3[(5 * 2 + x * 2) + -7] = 5x + 11(3 + -1x) 3[(10 + 2x) + -7] = 5x + 11(3 + -1x) Reorder the terms: 3[10 + -7 + 2x] = 5x + 11(3 + -1x) Combine like terms: 10 + -7 = 3 3[3 + 2x] = 5x + 11(3 + -1x) [3 * 3 + 2x * 3] = 5x + 11(3 + -1x) [9 + 6x] = 5x + 11(3 + -1x) 9 + 6x = 5x + (3 * 11 + -1x * 11) 9 + 6x = 5x + (33 + -11x) Reorder the terms: 9 + 6x = 33 + 5x + -11x Combine like terms: 5x + -11x = -6x 9 + 6x = 33 + -6x Solving 9 + 6x = 33 + -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. 9 + 6x + 6x = 33 + -6x + 6x Combine like terms: 6x + 6x = 12x 9 + 12x = 33 + -6x + 6x Combine like terms: -6x + 6x = 0 9 + 12x = 33 + 0 9 + 12x = 33 Add '-9' to each side of the equation. 9 + -9 + 12x = 33 + -9 Combine like terms: 9 + -9 = 0 0 + 12x = 33 + -9 12x = 33 + -9 Combine like terms: 33 + -9 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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