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Simplifying -5x + -6(6x + 8) = 30 + -2x Reorder the terms: -5x + -6(8 + 6x) = 30 + -2x -5x + (8 * -6 + 6x * -6) = 30 + -2x -5x + (-48 + -36x) = 30 + -2x Reorder the terms: -48 + -5x + -36x = 30 + -2x Combine like terms: -5x + -36x = -41x -48 + -41x = 30 + -2x Solving -48 + -41x = 30 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -48 + -41x + 2x = 30 + -2x + 2x Combine like terms: -41x + 2x = -39x -48 + -39x = 30 + -2x + 2x Combine like terms: -2x + 2x = 0 -48 + -39x = 30 + 0 -48 + -39x = 30 Add '48' to each side of the equation. -48 + 48 + -39x = 30 + 48 Combine like terms: -48 + 48 = 0 0 + -39x = 30 + 48 -39x = 30 + 48 Combine like terms: 30 + 48 = 78 -39x = 78 Divide each side by '-39'. x = -2 Simplifying x = -2
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