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Simplifying 4(x + -5) + -1(x + 16) = 0 Reorder the terms: 4(-5 + x) + -1(x + 16) = 0 (-5 * 4 + x * 4) + -1(x + 16) = 0 (-20 + 4x) + -1(x + 16) = 0 Reorder the terms: -20 + 4x + -1(16 + x) = 0 -20 + 4x + (16 * -1 + x * -1) = 0 -20 + 4x + (-16 + -1x) = 0 Reorder the terms: -20 + -16 + 4x + -1x = 0 Combine like terms: -20 + -16 = -36 -36 + 4x + -1x = 0 Combine like terms: 4x + -1x = 3x -36 + 3x = 0 Solving -36 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 3x = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 3x = 0 + 36 3x = 0 + 36 Combine like terms: 0 + 36 = 36 3x = 36 Divide each side by '3'. x = 12 Simplifying x = 12
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