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Simplifying 12x + -8 = 4(2x + 9) Reorder the terms: -8 + 12x = 4(2x + 9) Reorder the terms: -8 + 12x = 4(9 + 2x) -8 + 12x = (9 * 4 + 2x * 4) -8 + 12x = (36 + 8x) Solving -8 + 12x = 36 + 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. -8 + 12x + -8x = 36 + 8x + -8x Combine like terms: 12x + -8x = 4x -8 + 4x = 36 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + 4x = 36 + 0 -8 + 4x = 36 Add '8' to each side of the equation. -8 + 8 + 4x = 36 + 8 Combine like terms: -8 + 8 = 0 0 + 4x = 36 + 8 4x = 36 + 8 Combine like terms: 36 + 8 = 44 4x = 44 Divide each side by '4'. x = 11 Simplifying x = 11
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