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Simplifying 5(x + -4) + -1(7x + 3) = 0 Reorder the terms: 5(-4 + x) + -1(7x + 3) = 0 (-4 * 5 + x * 5) + -1(7x + 3) = 0 (-20 + 5x) + -1(7x + 3) = 0 Reorder the terms: -20 + 5x + -1(3 + 7x) = 0 -20 + 5x + (3 * -1 + 7x * -1) = 0 -20 + 5x + (-3 + -7x) = 0 Reorder the terms: -20 + -3 + 5x + -7x = 0 Combine like terms: -20 + -3 = -23 -23 + 5x + -7x = 0 Combine like terms: 5x + -7x = -2x -23 + -2x = 0 Solving -23 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + -2x = 0 + 23 Combine like terms: -23 + 23 = 0 0 + -2x = 0 + 23 -2x = 0 + 23 Combine like terms: 0 + 23 = 23 -2x = 23 Divide each side by '-2'. x = -11.5 Simplifying x = -11.5
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