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Simplifying [7(x + 5) + -16] + [3(x + -2) + 4] = 0 Reorder the terms: [7(5 + x) + -16] + [3(x + -2) + 4] = 0 [(5 * 7 + x * 7) + -16] + [3(x + -2) + 4] = 0 [(35 + 7x) + -16] + [3(x + -2) + 4] = 0 Reorder the terms: [35 + -16 + 7x] + [3(x + -2) + 4] = 0 Combine like terms: 35 + -16 = 19 [19 + 7x] + [3(x + -2) + 4] = 0 Remove brackets around [19 + 7x] 19 + 7x + [3(x + -2) + 4] = 0 Reorder the terms: 19 + 7x + [3(-2 + x) + 4] = 0 19 + 7x + [(-2 * 3 + x * 3) + 4] = 0 19 + 7x + [(-6 + 3x) + 4] = 0 Reorder the terms: 19 + 7x + [-6 + 4 + 3x] = 0 Combine like terms: -6 + 4 = -2 19 + 7x + [-2 + 3x] = 0 Remove brackets around [-2 + 3x] 19 + 7x + -2 + 3x = 0 Reorder the terms: 19 + -2 + 7x + 3x = 0 Combine like terms: 19 + -2 = 17 17 + 7x + 3x = 0 Combine like terms: 7x + 3x = 10x 17 + 10x = 0 Solving 17 + 10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 10x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 10x = 0 + -17 10x = 0 + -17 Combine like terms: 0 + -17 = -17 10x = -17 Divide each side by '10'. x = -1.7 Simplifying x = -1.7
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