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Simplifying 18(2x + -1) = 6(x + 3) + 3x Reorder the terms: 18(-1 + 2x) = 6(x + 3) + 3x (-1 * 18 + 2x * 18) = 6(x + 3) + 3x (-18 + 36x) = 6(x + 3) + 3x Reorder the terms: -18 + 36x = 6(3 + x) + 3x -18 + 36x = (3 * 6 + x * 6) + 3x -18 + 36x = (18 + 6x) + 3x Combine like terms: 6x + 3x = 9x -18 + 36x = 18 + 9x Solving -18 + 36x = 18 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -18 + 36x + -9x = 18 + 9x + -9x Combine like terms: 36x + -9x = 27x -18 + 27x = 18 + 9x + -9x Combine like terms: 9x + -9x = 0 -18 + 27x = 18 + 0 -18 + 27x = 18 Add '18' to each side of the equation. -18 + 18 + 27x = 18 + 18 Combine like terms: -18 + 18 = 0 0 + 27x = 18 + 18 27x = 18 + 18 Combine like terms: 18 + 18 = 36 27x = 36 Divide each side by '27'. x = 1.333333333 Simplifying x = 1.333333333
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