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Simplifying 5(x + -1) + -1(4x + 4) = 12 Reorder the terms: 5(-1 + x) + -1(4x + 4) = 12 (-1 * 5 + x * 5) + -1(4x + 4) = 12 (-5 + 5x) + -1(4x + 4) = 12 Reorder the terms: -5 + 5x + -1(4 + 4x) = 12 -5 + 5x + (4 * -1 + 4x * -1) = 12 -5 + 5x + (-4 + -4x) = 12 Reorder the terms: -5 + -4 + 5x + -4x = 12 Combine like terms: -5 + -4 = -9 -9 + 5x + -4x = 12 Combine like terms: 5x + -4x = 1x -9 + 1x = 12 Solving -9 + 1x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 1x = 12 + 9 Combine like terms: -9 + 9 = 0 0 + 1x = 12 + 9 1x = 12 + 9 Combine like terms: 12 + 9 = 21 1x = 21 Divide each side by '1'. x = 21 Simplifying x = 21
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