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Simplifying 30(x + 1) = 18(2x + -1) Reorder the terms: 30(1 + x) = 18(2x + -1) (1 * 30 + x * 30) = 18(2x + -1) (30 + 30x) = 18(2x + -1) Reorder the terms: 30 + 30x = 18(-1 + 2x) 30 + 30x = (-1 * 18 + 2x * 18) 30 + 30x = (-18 + 36x) Solving 30 + 30x = -18 + 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. 30 + 30x + -36x = -18 + 36x + -36x Combine like terms: 30x + -36x = -6x 30 + -6x = -18 + 36x + -36x Combine like terms: 36x + -36x = 0 30 + -6x = -18 + 0 30 + -6x = -18 Add '-30' to each side of the equation. 30 + -30 + -6x = -18 + -30 Combine like terms: 30 + -30 = 0 0 + -6x = -18 + -30 -6x = -18 + -30 Combine like terms: -18 + -30 = -48 -6x = -48 Divide each side by '-6'. x = 8 Simplifying x = 8
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