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Simplifying (2x + 6) = 8(9 + x) + -12 Reorder the terms: (6 + 2x) = 8(9 + x) + -12 Remove parenthesis around (6 + 2x) 6 + 2x = 8(9 + x) + -12 6 + 2x = (9 * 8 + x * 8) + -12 6 + 2x = (72 + 8x) + -12 Reorder the terms: 6 + 2x = 72 + -12 + 8x Combine like terms: 72 + -12 = 60 6 + 2x = 60 + 8x Solving 6 + 2x = 60 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 6 + 2x + -8x = 60 + 8x + -8x Combine like terms: 2x + -8x = -6x 6 + -6x = 60 + 8x + -8x Combine like terms: 8x + -8x = 0 6 + -6x = 60 + 0 6 + -6x = 60 Add '-6' to each side of the equation. 6 + -6 + -6x = 60 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = 60 + -6 -6x = 60 + -6 Combine like terms: 60 + -6 = 54 -6x = 54 Divide each side by '-6'. x = -9 Simplifying x = -9
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