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Simplifying 18(10x + 21) = -36(x + -2) Reorder the terms: 18(21 + 10x) = -36(x + -2) (21 * 18 + 10x * 18) = -36(x + -2) (378 + 180x) = -36(x + -2) Reorder the terms: 378 + 180x = -36(-2 + x) 378 + 180x = (-2 * -36 + x * -36) 378 + 180x = (72 + -36x) Solving 378 + 180x = 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. 378 + 180x + 36x = 72 + -36x + 36x Combine like terms: 180x + 36x = 216x 378 + 216x = 72 + -36x + 36x Combine like terms: -36x + 36x = 0 378 + 216x = 72 + 0 378 + 216x = 72 Add '-378' to each side of the equation. 378 + -378 + 216x = 72 + -378 Combine like terms: 378 + -378 = 0 0 + 216x = 72 + -378 216x = 72 + -378 Combine like terms: 72 + -378 = -306 216x = -306 Divide each side by '216'. x = -1.416666667 Simplifying x = -1.416666667
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