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Simplifying 3x + 2(-6x + -24) = 51 Reorder the terms: 3x + 2(-24 + -6x) = 51 3x + (-24 * 2 + -6x * 2) = 51 3x + (-48 + -12x) = 51 Reorder the terms: -48 + 3x + -12x = 51 Combine like terms: 3x + -12x = -9x -48 + -9x = 51 Solving -48 + -9x = 51 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + -9x = 51 + 48 Combine like terms: -48 + 48 = 0 0 + -9x = 51 + 48 -9x = 51 + 48 Combine like terms: 51 + 48 = 99 -9x = 99 Divide each side by '-9'. x = -11 Simplifying x = -11
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