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Simplifying 5x + [(17 + -11x) + -1(16x + -10)] = 36 + -9x Remove parenthesis around (17 + -11x) 5x + [17 + -11x + -1(16x + -10)] = 36 + -9x Reorder the terms: 5x + [17 + -11x + -1(-10 + 16x)] = 36 + -9x 5x + [17 + -11x + (-10 * -1 + 16x * -1)] = 36 + -9x 5x + [17 + -11x + (10 + -16x)] = 36 + -9x Reorder the terms: 5x + [17 + 10 + -11x + -16x] = 36 + -9x Combine like terms: 17 + 10 = 27 5x + [27 + -11x + -16x] = 36 + -9x Combine like terms: -11x + -16x = -27x 5x + [27 + -27x] = 36 + -9x Remove brackets around [27 + -27x] 5x + 27 + -27x = 36 + -9x Reorder the terms: 27 + 5x + -27x = 36 + -9x Combine like terms: 5x + -27x = -22x 27 + -22x = 36 + -9x Solving 27 + -22x = 36 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 27 + -22x + 9x = 36 + -9x + 9x Combine like terms: -22x + 9x = -13x 27 + -13x = 36 + -9x + 9x Combine like terms: -9x + 9x = 0 27 + -13x = 36 + 0 27 + -13x = 36 Add '-27' to each side of the equation. 27 + -27 + -13x = 36 + -27 Combine like terms: 27 + -27 = 0 0 + -13x = 36 + -27 -13x = 36 + -27 Combine like terms: 36 + -27 = 9 -13x = 9 Divide each side by '-13'. x = -0.6923076923 Simplifying x = -0.6923076923
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