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Simplifying 18(-9 + 2x) = -18x + -12(-1x + -11) (-9 * 18 + 2x * 18) = -18x + -12(-1x + -11) (-162 + 36x) = -18x + -12(-1x + -11) Reorder the terms: -162 + 36x = -18x + -12(-11 + -1x) -162 + 36x = -18x + (-11 * -12 + -1x * -12) -162 + 36x = -18x + (132 + 12x) Reorder the terms: -162 + 36x = 132 + -18x + 12x Combine like terms: -18x + 12x = -6x -162 + 36x = 132 + -6x Solving -162 + 36x = 132 + -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. -162 + 36x + 6x = 132 + -6x + 6x Combine like terms: 36x + 6x = 42x -162 + 42x = 132 + -6x + 6x Combine like terms: -6x + 6x = 0 -162 + 42x = 132 + 0 -162 + 42x = 132 Add '162' to each side of the equation. -162 + 162 + 42x = 132 + 162 Combine like terms: -162 + 162 = 0 0 + 42x = 132 + 162 42x = 132 + 162 Combine like terms: 132 + 162 = 294 42x = 294 Divide each side by '42'. x = 7 Simplifying x = 7
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