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Simplifying 101 + -1(5x + 4) = 5(x + 4) + x Reorder the terms: 101 + -1(4 + 5x) = 5(x + 4) + x 101 + (4 * -1 + 5x * -1) = 5(x + 4) + x 101 + (-4 + -5x) = 5(x + 4) + x Combine like terms: 101 + -4 = 97 97 + -5x = 5(x + 4) + x Reorder the terms: 97 + -5x = 5(4 + x) + x 97 + -5x = (4 * 5 + x * 5) + x 97 + -5x = (20 + 5x) + x Combine like terms: 5x + x = 6x 97 + -5x = 20 + 6x Solving 97 + -5x = 20 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 97 + -5x + -6x = 20 + 6x + -6x Combine like terms: -5x + -6x = -11x 97 + -11x = 20 + 6x + -6x Combine like terms: 6x + -6x = 0 97 + -11x = 20 + 0 97 + -11x = 20 Add '-97' to each side of the equation. 97 + -97 + -11x = 20 + -97 Combine like terms: 97 + -97 = 0 0 + -11x = 20 + -97 -11x = 20 + -97 Combine like terms: 20 + -97 = -77 -11x = -77 Divide each side by '-11'. x = 7 Simplifying x = 7
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