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Simplifying 127 + -1(5x + 16) = 5(x + 9) + x Reorder the terms: 127 + -1(16 + 5x) = 5(x + 9) + x 127 + (16 * -1 + 5x * -1) = 5(x + 9) + x 127 + (-16 + -5x) = 5(x + 9) + x Combine like terms: 127 + -16 = 111 111 + -5x = 5(x + 9) + x Reorder the terms: 111 + -5x = 5(9 + x) + x 111 + -5x = (9 * 5 + x * 5) + x 111 + -5x = (45 + 5x) + x Combine like terms: 5x + x = 6x 111 + -5x = 45 + 6x Solving 111 + -5x = 45 + 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. 111 + -5x + -6x = 45 + 6x + -6x Combine like terms: -5x + -6x = -11x 111 + -11x = 45 + 6x + -6x Combine like terms: 6x + -6x = 0 111 + -11x = 45 + 0 111 + -11x = 45 Add '-111' to each side of the equation. 111 + -111 + -11x = 45 + -111 Combine like terms: 111 + -111 = 0 0 + -11x = 45 + -111 -11x = 45 + -111 Combine like terms: 45 + -111 = -66 -11x = -66 Divide each side by '-11'. x = 6 Simplifying x = 6
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