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Simplifying 3((9(x + -2) + 7) + -2(4(x + 5) + -36)) = 0 Reorder the terms: 3((9(-2 + x) + 7) + -2(4(x + 5) + -36)) = 0 3(((-2 * 9 + x * 9) + 7) + -2(4(x + 5) + -36)) = 0 3(((-18 + 9x) + 7) + -2(4(x + 5) + -36)) = 0 Reorder the terms: 3((-18 + 7 + 9x) + -2(4(x + 5) + -36)) = 0 Combine like terms: -18 + 7 = -11 3((-11 + 9x) + -2(4(x + 5) + -36)) = 0 Remove parenthesis around (-11 + 9x) 3(-11 + 9x + -2(4(x + 5) + -36)) = 0 Reorder the terms: 3(-11 + 9x + -2(4(5 + x) + -36)) = 0 3(-11 + 9x + -2((5 * 4 + x * 4) + -36)) = 0 3(-11 + 9x + -2((20 + 4x) + -36)) = 0 Reorder the terms: 3(-11 + 9x + -2(20 + -36 + 4x)) = 0 Combine like terms: 20 + -36 = -16 3(-11 + 9x + -2(-16 + 4x)) = 0 3(-11 + 9x + (-16 * -2 + 4x * -2)) = 0 3(-11 + 9x + (32 + -8x)) = 0 Reorder the terms: 3(-11 + 32 + 9x + -8x) = 0 Combine like terms: -11 + 32 = 21 3(21 + 9x + -8x) = 0 Combine like terms: 9x + -8x = 1x 3(21 + 1x) = 0 (21 * 3 + 1x * 3) = 0 (63 + 3x) = 0 Solving 63 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + -63 + 3x = 0 + -63 Combine like terms: 63 + -63 = 0 0 + 3x = 0 + -63 3x = 0 + -63 Combine like terms: 0 + -63 = -63 3x = -63 Divide each side by '3'. x = -21 Simplifying x = -21
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