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Simplifying 12(x + -7) = 8x + -44 Reorder the terms: 12(-7 + x) = 8x + -44 (-7 * 12 + x * 12) = 8x + -44 (-84 + 12x) = 8x + -44 Reorder the terms: -84 + 12x = -44 + 8x Solving -84 + 12x = -44 + 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. -84 + 12x + -8x = -44 + 8x + -8x Combine like terms: 12x + -8x = 4x -84 + 4x = -44 + 8x + -8x Combine like terms: 8x + -8x = 0 -84 + 4x = -44 + 0 -84 + 4x = -44 Add '84' to each side of the equation. -84 + 84 + 4x = -44 + 84 Combine like terms: -84 + 84 = 0 0 + 4x = -44 + 84 4x = -44 + 84 Combine like terms: -44 + 84 = 40 4x = 40 Divide each side by '4'. x = 10 Simplifying x = 10
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