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Simplifying -1[11(x + 2) + -10 * 10] = [10(x + -5) + 3x](-2) + x Reorder the terms: -1[11(2 + x) + -10 * 10] = [10(x + -5) + 3x](-2) + x -1[(2 * 11 + x * 11) + -10 * 10] = [10(x + -5) + 3x](-2) + x -1[(22 + 11x) + -10 * 10] = [10(x + -5) + 3x](-2) + x Multiply -10 * 10 -1[22 + 11x + -100] = [10(x + -5) + 3x](-2) + x Reorder the terms: -1[22 + -100 + 11x] = [10(x + -5) + 3x](-2) + x Combine like terms: 22 + -100 = -78 -1[-78 + 11x] = [10(x + -5) + 3x](-2) + x [-78 * -1 + 11x * -1] = [10(x + -5) + 3x](-2) + x [78 + -11x] = [10(x + -5) + 3x](-2) + x Reorder the terms: 78 + -11x = [10(-5 + x) + 3x](-2) + x 78 + -11x = [(-5 * 10 + x * 10) + 3x](-2) + x 78 + -11x = [(-50 + 10x) + 3x](-2) + x Combine like terms: 10x + 3x = 13x 78 + -11x = [-50 + 13x](-2) + x Reorder the terms for easier multiplication: 78 + -11x = -2[-50 + 13x] + x 78 + -11x = [-50 * -2 + 13x * -2] + x 78 + -11x = [100 + -26x] + x Combine like terms: -26x + x = -25x 78 + -11x = 100 + -25x Solving 78 + -11x = 100 + -25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25x' to each side of the equation. 78 + -11x + 25x = 100 + -25x + 25x Combine like terms: -11x + 25x = 14x 78 + 14x = 100 + -25x + 25x Combine like terms: -25x + 25x = 0 78 + 14x = 100 + 0 78 + 14x = 100 Add '-78' to each side of the equation. 78 + -78 + 14x = 100 + -78 Combine like terms: 78 + -78 = 0 0 + 14x = 100 + -78 14x = 100 + -78 Combine like terms: 100 + -78 = 22 14x = 22 Divide each side by '14'. x = 1.571428571 Simplifying x = 1.571428571
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