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Simplifying 23(6x + -1) = 34(3x + 2) + -2 Reorder the terms: 23(-1 + 6x) = 34(3x + 2) + -2 (-1 * 23 + 6x * 23) = 34(3x + 2) + -2 (-23 + 138x) = 34(3x + 2) + -2 Reorder the terms: -23 + 138x = 34(2 + 3x) + -2 -23 + 138x = (2 * 34 + 3x * 34) + -2 -23 + 138x = (68 + 102x) + -2 Reorder the terms: -23 + 138x = 68 + -2 + 102x Combine like terms: 68 + -2 = 66 -23 + 138x = 66 + 102x Solving -23 + 138x = 66 + 102x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-102x' to each side of the equation. -23 + 138x + -102x = 66 + 102x + -102x Combine like terms: 138x + -102x = 36x -23 + 36x = 66 + 102x + -102x Combine like terms: 102x + -102x = 0 -23 + 36x = 66 + 0 -23 + 36x = 66 Add '23' to each side of the equation. -23 + 23 + 36x = 66 + 23 Combine like terms: -23 + 23 = 0 0 + 36x = 66 + 23 36x = 66 + 23 Combine like terms: 66 + 23 = 89 36x = 89 Divide each side by '36'. x = 2.472222222 Simplifying x = 2.472222222
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