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Simplifying 11 + 7(3x + -3) = 2[3(5x + 3) + 4] Reorder the terms: 11 + 7(-3 + 3x) = 2[3(5x + 3) + 4] 11 + (-3 * 7 + 3x * 7) = 2[3(5x + 3) + 4] 11 + (-21 + 21x) = 2[3(5x + 3) + 4] Combine like terms: 11 + -21 = -10 -10 + 21x = 2[3(5x + 3) + 4] Reorder the terms: -10 + 21x = 2[3(3 + 5x) + 4] -10 + 21x = 2[(3 * 3 + 5x * 3) + 4] -10 + 21x = 2[(9 + 15x) + 4] Reorder the terms: -10 + 21x = 2[9 + 4 + 15x] Combine like terms: 9 + 4 = 13 -10 + 21x = 2[13 + 15x] -10 + 21x = [13 * 2 + 15x * 2] -10 + 21x = [26 + 30x] Solving -10 + 21x = 26 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -10 + 21x + -30x = 26 + 30x + -30x Combine like terms: 21x + -30x = -9x -10 + -9x = 26 + 30x + -30x Combine like terms: 30x + -30x = 0 -10 + -9x = 26 + 0 -10 + -9x = 26 Add '10' to each side of the equation. -10 + 10 + -9x = 26 + 10 Combine like terms: -10 + 10 = 0 0 + -9x = 26 + 10 -9x = 26 + 10 Combine like terms: 26 + 10 = 36 -9x = 36 Divide each side by '-9'. x = -4 Simplifying x = -4
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