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Simplifying 100 = [x + -1] + 4[x + -6] Reorder the terms: 100 = [-1 + x] + 4[x + -6] Remove brackets around [-1 + x] 100 = -1 + x + 4[x + -6] Reorder the terms: 100 = -1 + x + 4[-6 + x] 100 = -1 + x + [-6 * 4 + x * 4] 100 = -1 + x + [-24 + 4x] Reorder the terms: 100 = -1 + -24 + x + 4x Combine like terms: -1 + -24 = -25 100 = -25 + x + 4x Combine like terms: x + 4x = 5x 100 = -25 + 5x Solving 100 = -25 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 100 + -5x = -25 + 5x + -5x Combine like terms: 5x + -5x = 0 100 + -5x = -25 + 0 100 + -5x = -25 Add '-100' to each side of the equation. 100 + -100 + -5x = -25 + -100 Combine like terms: 100 + -100 = 0 0 + -5x = -25 + -100 -5x = -25 + -100 Combine like terms: -25 + -100 = -125 -5x = -125 Divide each side by '-5'. x = 25 Simplifying x = 25
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