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Simplifying 100 = (x + -1) + 4(x + -6) Reorder the terms: 100 = (-1 + x) + 4(x + -6) Remove parenthesis 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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