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Simplifying 4(x + -1) + -1(x + 2) = 12 Reorder the terms: 4(-1 + x) + -1(x + 2) = 12 (-1 * 4 + x * 4) + -1(x + 2) = 12 (-4 + 4x) + -1(x + 2) = 12 Reorder the terms: -4 + 4x + -1(2 + x) = 12 -4 + 4x + (2 * -1 + x * -1) = 12 -4 + 4x + (-2 + -1x) = 12 Reorder the terms: -4 + -2 + 4x + -1x = 12 Combine like terms: -4 + -2 = -6 -6 + 4x + -1x = 12 Combine like terms: 4x + -1x = 3x -6 + 3x = 12 Solving -6 + 3x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 3x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 12 + 6 3x = 12 + 6 Combine like terms: 12 + 6 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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