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Simplifying 3(x + -4) + -1(x + 5) = 0 Reorder the terms: 3(-4 + x) + -1(x + 5) = 0 (-4 * 3 + x * 3) + -1(x + 5) = 0 (-12 + 3x) + -1(x + 5) = 0 Reorder the terms: -12 + 3x + -1(5 + x) = 0 -12 + 3x + (5 * -1 + x * -1) = 0 -12 + 3x + (-5 + -1x) = 0 Reorder the terms: -12 + -5 + 3x + -1x = 0 Combine like terms: -12 + -5 = -17 -17 + 3x + -1x = 0 Combine like terms: 3x + -1x = 2x -17 + 2x = 0 Solving -17 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 2x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 2x = 0 + 17 2x = 0 + 17 Combine like terms: 0 + 17 = 17 2x = 17 Divide each side by '2'. x = 8.5 Simplifying x = 8.5
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