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Simplifying 5(x + -1) + -3(x + 3) = 12 Reorder the terms: 5(-1 + x) + -3(x + 3) = 12 (-1 * 5 + x * 5) + -3(x + 3) = 12 (-5 + 5x) + -3(x + 3) = 12 Reorder the terms: -5 + 5x + -3(3 + x) = 12 -5 + 5x + (3 * -3 + x * -3) = 12 -5 + 5x + (-9 + -3x) = 12 Reorder the terms: -5 + -9 + 5x + -3x = 12 Combine like terms: -5 + -9 = -14 -14 + 5x + -3x = 12 Combine like terms: 5x + -3x = 2x -14 + 2x = 12 Solving -14 + 2x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 2x = 12 + 14 Combine like terms: -14 + 14 = 0 0 + 2x = 12 + 14 2x = 12 + 14 Combine like terms: 12 + 14 = 26 2x = 26 Divide each side by '2'. x = 13 Simplifying x = 13
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