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Simplifying 3(x + -1) + -7(x + 1) = 12 Reorder the terms: 3(-1 + x) + -7(x + 1) = 12 (-1 * 3 + x * 3) + -7(x + 1) = 12 (-3 + 3x) + -7(x + 1) = 12 Reorder the terms: -3 + 3x + -7(1 + x) = 12 -3 + 3x + (1 * -7 + x * -7) = 12 -3 + 3x + (-7 + -7x) = 12 Reorder the terms: -3 + -7 + 3x + -7x = 12 Combine like terms: -3 + -7 = -10 -10 + 3x + -7x = 12 Combine like terms: 3x + -7x = -4x -10 + -4x = 12 Solving -10 + -4x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -4x = 12 + 10 Combine like terms: -10 + 10 = 0 0 + -4x = 12 + 10 -4x = 12 + 10 Combine like terms: 12 + 10 = 22 -4x = 22 Divide each side by '-4'. x = -5.5 Simplifying x = -5.5
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