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Simplifying 18(x + -1) = 7(x + 2) + 6 Reorder the terms: 18(-1 + x) = 7(x + 2) + 6 (-1 * 18 + x * 18) = 7(x + 2) + 6 (-18 + 18x) = 7(x + 2) + 6 Reorder the terms: -18 + 18x = 7(2 + x) + 6 -18 + 18x = (2 * 7 + x * 7) + 6 -18 + 18x = (14 + 7x) + 6 Reorder the terms: -18 + 18x = 14 + 6 + 7x Combine like terms: 14 + 6 = 20 -18 + 18x = 20 + 7x Solving -18 + 18x = 20 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -18 + 18x + -7x = 20 + 7x + -7x Combine like terms: 18x + -7x = 11x -18 + 11x = 20 + 7x + -7x Combine like terms: 7x + -7x = 0 -18 + 11x = 20 + 0 -18 + 11x = 20 Add '18' to each side of the equation. -18 + 18 + 11x = 20 + 18 Combine like terms: -18 + 18 = 0 0 + 11x = 20 + 18 11x = 20 + 18 Combine like terms: 20 + 18 = 38 11x = 38 Divide each side by '11'. x = 3.454545455 Simplifying x = 3.454545455
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