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Simplifying 5(x + 9) + 11 = 7X + -2(x + -3) Reorder the terms: 5(9 + x) + 11 = 7X + -2(x + -3) (9 * 5 + x * 5) + 11 = 7X + -2(x + -3) (45 + 5x) + 11 = 7X + -2(x + -3) Reorder the terms: 45 + 11 + 5x = 7X + -2(x + -3) Combine like terms: 45 + 11 = 56 56 + 5x = 7X + -2(x + -3) Reorder the terms: 56 + 5x = 7X + -2(-3 + x) 56 + 5x = 7X + (-3 * -2 + x * -2) 56 + 5x = 7X + (6 + -2x) Reorder the terms: 56 + 5x = 6 + 7X + -2x Solving 56 + 5x = 6 + 7X + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 56 + 5x + 2x = 6 + 7X + -2x + 2x Combine like terms: 5x + 2x = 7x 56 + 7x = 6 + 7X + -2x + 2x Combine like terms: -2x + 2x = 0 56 + 7x = 6 + 7X + 0 56 + 7x = 6 + 7X Add '-56' to each side of the equation. 56 + -56 + 7x = 6 + -56 + 7X Combine like terms: 56 + -56 = 0 0 + 7x = 6 + -56 + 7X 7x = 6 + -56 + 7X Combine like terms: 6 + -56 = -50 7x = -50 + 7X Divide each side by '7'. x = -7.142857143 + X Simplifying x = -7.142857143 + X
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