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Simplifying 4x + -1[5 + (21x + -13)] = 76 Reorder the terms: 4x + -1[5 + (-13 + 21x)] = 76 Remove parenthesis around (-13 + 21x) 4x + -1[5 + -13 + 21x] = 76 Combine like terms: 5 + -13 = -8 4x + -1[-8 + 21x] = 76 4x + [-8 * -1 + 21x * -1] = 76 4x + [8 + -21x] = 76 Reorder the terms: 8 + 4x + -21x = 76 Combine like terms: 4x + -21x = -17x 8 + -17x = 76 Solving 8 + -17x = 76 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -17x = 76 + -8 Combine like terms: 8 + -8 = 0 0 + -17x = 76 + -8 -17x = 76 + -8 Combine like terms: 76 + -8 = 68 -17x = 68 Divide each side by '-17'. x = -4 Simplifying x = -4
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