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Simplifying x + 20 = 4(x + -100) Reorder the terms: 20 + x = 4(x + -100) Reorder the terms: 20 + x = 4(-100 + x) 20 + x = (-100 * 4 + x * 4) 20 + x = (-400 + 4x) Solving 20 + x = -400 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 20 + x + -4x = -400 + 4x + -4x Combine like terms: x + -4x = -3x 20 + -3x = -400 + 4x + -4x Combine like terms: 4x + -4x = 0 20 + -3x = -400 + 0 20 + -3x = -400 Add '-20' to each side of the equation. 20 + -20 + -3x = -400 + -20 Combine like terms: 20 + -20 = 0 0 + -3x = -400 + -20 -3x = -400 + -20 Combine like terms: -400 + -20 = -420 -3x = -420 Divide each side by '-3'. x = 140 Simplifying x = 140
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