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Simplifying -36(6x + 1) = 9(4 + -2x) Reorder the terms: -36(1 + 6x) = 9(4 + -2x) (1 * -36 + 6x * -36) = 9(4 + -2x) (-36 + -216x) = 9(4 + -2x) -36 + -216x = (4 * 9 + -2x * 9) -36 + -216x = (36 + -18x) Solving -36 + -216x = 36 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -36 + -216x + 18x = 36 + -18x + 18x Combine like terms: -216x + 18x = -198x -36 + -198x = 36 + -18x + 18x Combine like terms: -18x + 18x = 0 -36 + -198x = 36 + 0 -36 + -198x = 36 Add '36' to each side of the equation. -36 + 36 + -198x = 36 + 36 Combine like terms: -36 + 36 = 0 0 + -198x = 36 + 36 -198x = 36 + 36 Combine like terms: 36 + 36 = 72 -198x = 72 Divide each side by '-198'. x = -0.3636363636 Simplifying x = -0.3636363636
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