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Simplifying 4(x + -5) + -1(7x + -9) = 1 Reorder the terms: 4(-5 + x) + -1(7x + -9) = 1 (-5 * 4 + x * 4) + -1(7x + -9) = 1 (-20 + 4x) + -1(7x + -9) = 1 Reorder the terms: -20 + 4x + -1(-9 + 7x) = 1 -20 + 4x + (-9 * -1 + 7x * -1) = 1 -20 + 4x + (9 + -7x) = 1 Reorder the terms: -20 + 9 + 4x + -7x = 1 Combine like terms: -20 + 9 = -11 -11 + 4x + -7x = 1 Combine like terms: 4x + -7x = -3x -11 + -3x = 1 Solving -11 + -3x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -3x = 1 + 11 Combine like terms: -11 + 11 = 0 0 + -3x = 1 + 11 -3x = 1 + 11 Combine like terms: 1 + 11 = 12 -3x = 12 Divide each side by '-3'. x = -4 Simplifying x = -4
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