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Simplifying 11 = -9(3x + -3) + 2(10x + 6) Reorder the terms: 11 = -9(-3 + 3x) + 2(10x + 6) 11 = (-3 * -9 + 3x * -9) + 2(10x + 6) 11 = (27 + -27x) + 2(10x + 6) Reorder the terms: 11 = 27 + -27x + 2(6 + 10x) 11 = 27 + -27x + (6 * 2 + 10x * 2) 11 = 27 + -27x + (12 + 20x) Reorder the terms: 11 = 27 + 12 + -27x + 20x Combine like terms: 27 + 12 = 39 11 = 39 + -27x + 20x Combine like terms: -27x + 20x = -7x 11 = 39 + -7x Solving 11 = 39 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 11 + 7x = 39 + -7x + 7x Combine like terms: -7x + 7x = 0 11 + 7x = 39 + 0 11 + 7x = 39 Add '-11' to each side of the equation. 11 + -11 + 7x = 39 + -11 Combine like terms: 11 + -11 = 0 0 + 7x = 39 + -11 7x = 39 + -11 Combine like terms: 39 + -11 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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