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Simplifying 4(3x + -1) + -1(x + -2) = 42 Reorder the terms: 4(-1 + 3x) + -1(x + -2) = 42 (-1 * 4 + 3x * 4) + -1(x + -2) = 42 (-4 + 12x) + -1(x + -2) = 42 Reorder the terms: -4 + 12x + -1(-2 + x) = 42 -4 + 12x + (-2 * -1 + x * -1) = 42 -4 + 12x + (2 + -1x) = 42 Reorder the terms: -4 + 2 + 12x + -1x = 42 Combine like terms: -4 + 2 = -2 -2 + 12x + -1x = 42 Combine like terms: 12x + -1x = 11x -2 + 11x = 42 Solving -2 + 11x = 42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 11x = 42 + 2 Combine like terms: -2 + 2 = 0 0 + 11x = 42 + 2 11x = 42 + 2 Combine like terms: 42 + 2 = 44 11x = 44 Divide each side by '11'. x = 4 Simplifying x = 4
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