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Simplifying 6(3x + -11) = 27x + -102 Reorder the terms: 6(-11 + 3x) = 27x + -102 (-11 * 6 + 3x * 6) = 27x + -102 (-66 + 18x) = 27x + -102 Reorder the terms: -66 + 18x = -102 + 27x Solving -66 + 18x = -102 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. -66 + 18x + -27x = -102 + 27x + -27x Combine like terms: 18x + -27x = -9x -66 + -9x = -102 + 27x + -27x Combine like terms: 27x + -27x = 0 -66 + -9x = -102 + 0 -66 + -9x = -102 Add '66' to each side of the equation. -66 + 66 + -9x = -102 + 66 Combine like terms: -66 + 66 = 0 0 + -9x = -102 + 66 -9x = -102 + 66 Combine like terms: -102 + 66 = -36 -9x = -36 Divide each side by '-9'. x = 4 Simplifying x = 4
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