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Simplifying -18x + -15 + -9x + -51 = 8x + 10 + -1 Reorder the terms: -15 + -51 + -18x + -9x = 8x + 10 + -1 Combine like terms: -15 + -51 = -66 -66 + -18x + -9x = 8x + 10 + -1 Combine like terms: -18x + -9x = -27x -66 + -27x = 8x + 10 + -1 Reorder the terms: -66 + -27x = 10 + -1 + 8x Combine like terms: 10 + -1 = 9 -66 + -27x = 9 + 8x Solving -66 + -27x = 9 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -66 + -27x + -8x = 9 + 8x + -8x Combine like terms: -27x + -8x = -35x -66 + -35x = 9 + 8x + -8x Combine like terms: 8x + -8x = 0 -66 + -35x = 9 + 0 -66 + -35x = 9 Add '66' to each side of the equation. -66 + 66 + -35x = 9 + 66 Combine like terms: -66 + 66 = 0 0 + -35x = 9 + 66 -35x = 9 + 66 Combine like terms: 9 + 66 = 75 -35x = 75 Divide each side by '-35'. x = -2.142857143 Simplifying x = -2.142857143
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