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Simplifying -8(2x + 6) = 2 + 9x Reorder the terms: -8(6 + 2x) = 2 + 9x (6 * -8 + 2x * -8) = 2 + 9x (-48 + -16x) = 2 + 9x Solving -48 + -16x = 2 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -48 + -16x + -9x = 2 + 9x + -9x Combine like terms: -16x + -9x = -25x -48 + -25x = 2 + 9x + -9x Combine like terms: 9x + -9x = 0 -48 + -25x = 2 + 0 -48 + -25x = 2 Add '48' to each side of the equation. -48 + 48 + -25x = 2 + 48 Combine like terms: -48 + 48 = 0 0 + -25x = 2 + 48 -25x = 2 + 48 Combine like terms: 2 + 48 = 50 -25x = 50 Divide each side by '-25'. x = -2 Simplifying x = -2
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