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Simplifying [7(x + 5) + -16] + [3(x + -2) + 1] = 0 Reorder the terms: [7(5 + x) + -16] + [3(x + -2) + 1] = 0 [(5 * 7 + x * 7) + -16] + [3(x + -2) + 1] = 0 [(35 + 7x) + -16] + [3(x + -2) + 1] = 0 Reorder the terms: [35 + -16 + 7x] + [3(x + -2) + 1] = 0 Combine like terms: 35 + -16 = 19 [19 + 7x] + [3(x + -2) + 1] = 0 Remove brackets around [19 + 7x] 19 + 7x + [3(x + -2) + 1] = 0 Reorder the terms: 19 + 7x + [3(-2 + x) + 1] = 0 19 + 7x + [(-2 * 3 + x * 3) + 1] = 0 19 + 7x + [(-6 + 3x) + 1] = 0 Reorder the terms: 19 + 7x + [-6 + 1 + 3x] = 0 Combine like terms: -6 + 1 = -5 19 + 7x + [-5 + 3x] = 0 Remove brackets around [-5 + 3x] 19 + 7x + -5 + 3x = 0 Reorder the terms: 19 + -5 + 7x + 3x = 0 Combine like terms: 19 + -5 = 14 14 + 7x + 3x = 0 Combine like terms: 7x + 3x = 10x 14 + 10x = 0 Solving 14 + 10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 10x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 10x = 0 + -14 10x = 0 + -14 Combine like terms: 0 + -14 = -14 10x = -14 Divide each side by '10'. x = -1.4 Simplifying x = -1.4
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