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Simplifying 4(x + -7) + -1(2x + -5) = 0 Reorder the terms: 4(-7 + x) + -1(2x + -5) = 0 (-7 * 4 + x * 4) + -1(2x + -5) = 0 (-28 + 4x) + -1(2x + -5) = 0 Reorder the terms: -28 + 4x + -1(-5 + 2x) = 0 -28 + 4x + (-5 * -1 + 2x * -1) = 0 -28 + 4x + (5 + -2x) = 0 Reorder the terms: -28 + 5 + 4x + -2x = 0 Combine like terms: -28 + 5 = -23 -23 + 4x + -2x = 0 Combine like terms: 4x + -2x = 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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