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Simplifying 4(x + -5) = (x + 100) Reorder the terms: 4(-5 + x) = (x + 100) (-5 * 4 + x * 4) = (x + 100) (-20 + 4x) = (x + 100) Reorder the terms: -20 + 4x = (100 + x) Remove parenthesis around (100 + x) -20 + 4x = 100 + x Solving -20 + 4x = 100 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -20 + 4x + -1x = 100 + x + -1x Combine like terms: 4x + -1x = 3x -20 + 3x = 100 + x + -1x Combine like terms: x + -1x = 0 -20 + 3x = 100 + 0 -20 + 3x = 100 Add '20' to each side of the equation. -20 + 20 + 3x = 100 + 20 Combine like terms: -20 + 20 = 0 0 + 3x = 100 + 20 3x = 100 + 20 Combine like terms: 100 + 20 = 120 3x = 120 Divide each side by '3'. x = 40 Simplifying x = 40
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