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Simplifying [7(x + 4) + -11] + -1[-3(x + -3) + -8] = 0 Reorder the terms: [7(4 + x) + -11] + -1[-3(x + -3) + -8] = 0 [(4 * 7 + x * 7) + -11] + -1[-3(x + -3) + -8] = 0 [(28 + 7x) + -11] + -1[-3(x + -3) + -8] = 0 Reorder the terms: [28 + -11 + 7x] + -1[-3(x + -3) + -8] = 0 Combine like terms: 28 + -11 = 17 [17 + 7x] + -1[-3(x + -3) + -8] = 0 Remove brackets around [17 + 7x] 17 + 7x + -1[-3(x + -3) + -8] = 0 Reorder the terms: 17 + 7x + -1[-3(-3 + x) + -8] = 0 17 + 7x + -1[(-3 * -3 + x * -3) + -8] = 0 17 + 7x + -1[(9 + -3x) + -8] = 0 Reorder the terms: 17 + 7x + -1[9 + -8 + -3x] = 0 Combine like terms: 9 + -8 = 1 17 + 7x + -1[1 + -3x] = 0 17 + 7x + [1 * -1 + -3x * -1] = 0 17 + 7x + [-1 + 3x] = 0 Reorder the terms: 17 + -1 + 7x + 3x = 0 Combine like terms: 17 + -1 = 16 16 + 7x + 3x = 0 Combine like terms: 7x + 3x = 10x 16 + 10x = 0 Solving 16 + 10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 10x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 10x = 0 + -16 10x = 0 + -16 Combine like terms: 0 + -16 = -16 10x = -16 Divide each side by '10'. x = -1.6 Simplifying x = -1.6
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