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Simplifying [7(x + 4) + -5] + [4(x + -2) + 12] = 0 Reorder the terms: [7(4 + x) + -5] + [4(x + -2) + 12] = 0 [(4 * 7 + x * 7) + -5] + [4(x + -2) + 12] = 0 [(28 + 7x) + -5] + [4(x + -2) + 12] = 0 Reorder the terms: [28 + -5 + 7x] + [4(x + -2) + 12] = 0 Combine like terms: 28 + -5 = 23 [23 + 7x] + [4(x + -2) + 12] = 0 Remove brackets around [23 + 7x] 23 + 7x + [4(x + -2) + 12] = 0 Reorder the terms: 23 + 7x + [4(-2 + x) + 12] = 0 23 + 7x + [(-2 * 4 + x * 4) + 12] = 0 23 + 7x + [(-8 + 4x) + 12] = 0 Reorder the terms: 23 + 7x + [-8 + 12 + 4x] = 0 Combine like terms: -8 + 12 = 4 23 + 7x + [4 + 4x] = 0 Remove brackets around [4 + 4x] 23 + 7x + 4 + 4x = 0 Reorder the terms: 23 + 4 + 7x + 4x = 0 Combine like terms: 23 + 4 = 27 27 + 7x + 4x = 0 Combine like terms: 7x + 4x = 11x 27 + 11x = 0 Solving 27 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 11x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 11x = 0 + -27 11x = 0 + -27 Combine like terms: 0 + -27 = -27 11x = -27 Divide each side by '11'. x = -2.454545455 Simplifying x = -2.454545455
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