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Simplifying 4(x + -1) + -1(x + 6) = 2 Reorder the terms: 4(-1 + x) + -1(x + 6) = 2 (-1 * 4 + x * 4) + -1(x + 6) = 2 (-4 + 4x) + -1(x + 6) = 2 Reorder the terms: -4 + 4x + -1(6 + x) = 2 -4 + 4x + (6 * -1 + x * -1) = 2 -4 + 4x + (-6 + -1x) = 2 Reorder the terms: -4 + -6 + 4x + -1x = 2 Combine like terms: -4 + -6 = -10 -10 + 4x + -1x = 2 Combine like terms: 4x + -1x = 3x -10 + 3x = 2 Solving -10 + 3x = 2 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 + 3x = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 3x = 2 + 10 3x = 2 + 10 Combine like terms: 2 + 10 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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