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Simplifying 6(x + 2) = 3(3x + -8) Reorder the terms: 6(2 + x) = 3(3x + -8) (2 * 6 + x * 6) = 3(3x + -8) (12 + 6x) = 3(3x + -8) Reorder the terms: 12 + 6x = 3(-8 + 3x) 12 + 6x = (-8 * 3 + 3x * 3) 12 + 6x = (-24 + 9x) Solving 12 + 6x = -24 + 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. 12 + 6x + -9x = -24 + 9x + -9x Combine like terms: 6x + -9x = -3x 12 + -3x = -24 + 9x + -9x Combine like terms: 9x + -9x = 0 12 + -3x = -24 + 0 12 + -3x = -24 Add '-12' to each side of the equation. 12 + -12 + -3x = -24 + -12 Combine like terms: 12 + -12 = 0 0 + -3x = -24 + -12 -3x = -24 + -12 Combine like terms: -24 + -12 = -36 -3x = -36 Divide each side by '-3'. x = 12 Simplifying x = 12
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