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Simplifying 5 + -9[6 + (7 + -6x)] = 17 + -21(12x + -2) Remove parenthesis around (7 + -6x) 5 + -9[6 + 7 + -6x] = 17 + -21(12x + -2) Combine like terms: 6 + 7 = 13 5 + -9[13 + -6x] = 17 + -21(12x + -2) 5 + [13 * -9 + -6x * -9] = 17 + -21(12x + -2) 5 + [-117 + 54x] = 17 + -21(12x + -2) Combine like terms: 5 + -117 = -112 -112 + 54x = 17 + -21(12x + -2) Reorder the terms: -112 + 54x = 17 + -21(-2 + 12x) -112 + 54x = 17 + (-2 * -21 + 12x * -21) -112 + 54x = 17 + (42 + -252x) Combine like terms: 17 + 42 = 59 -112 + 54x = 59 + -252x Solving -112 + 54x = 59 + -252x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '252x' to each side of the equation. -112 + 54x + 252x = 59 + -252x + 252x Combine like terms: 54x + 252x = 306x -112 + 306x = 59 + -252x + 252x Combine like terms: -252x + 252x = 0 -112 + 306x = 59 + 0 -112 + 306x = 59 Add '112' to each side of the equation. -112 + 112 + 306x = 59 + 112 Combine like terms: -112 + 112 = 0 0 + 306x = 59 + 112 306x = 59 + 112 Combine like terms: 59 + 112 = 171 306x = 171 Divide each side by '306'. x = 0.5588235294 Simplifying x = 0.5588235294
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