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Simplifying x + 121 = 4[x + -5] Reorder the terms: 121 + x = 4[x + -5] Reorder the terms: 121 + x = 4[-5 + x] 121 + x = [-5 * 4 + x * 4] 121 + x = [-20 + 4x] Solving 121 + x = -20 + 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. 121 + x + -4x = -20 + 4x + -4x Combine like terms: x + -4x = -3x 121 + -3x = -20 + 4x + -4x Combine like terms: 4x + -4x = 0 121 + -3x = -20 + 0 121 + -3x = -20 Add '-121' to each side of the equation. 121 + -121 + -3x = -20 + -121 Combine like terms: 121 + -121 = 0 0 + -3x = -20 + -121 -3x = -20 + -121 Combine like terms: -20 + -121 = -141 -3x = -141 Divide each side by '-3'. x = 47 Simplifying x = 47
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