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Simplifying 18(9x + 19) = -36(x + -2) Reorder the terms: 18(19 + 9x) = -36(x + -2) (19 * 18 + 9x * 18) = -36(x + -2) (342 + 162x) = -36(x + -2) Reorder the terms: 342 + 162x = -36(-2 + x) 342 + 162x = (-2 * -36 + x * -36) 342 + 162x = (72 + -36x) Solving 342 + 162x = 72 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. 342 + 162x + 36x = 72 + -36x + 36x Combine like terms: 162x + 36x = 198x 342 + 198x = 72 + -36x + 36x Combine like terms: -36x + 36x = 0 342 + 198x = 72 + 0 342 + 198x = 72 Add '-342' to each side of the equation. 342 + -342 + 198x = 72 + -342 Combine like terms: 342 + -342 = 0 0 + 198x = 72 + -342 198x = 72 + -342 Combine like terms: 72 + -342 = -270 198x = -270 Divide each side by '198'. x = -1.363636364 Simplifying x = -1.363636364
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