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Simplifying [7(x + 4) + -15] + -1[2(x + -3) + 2] = 0 Reorder the terms: [7(4 + x) + -15] + -1[2(x + -3) + 2] = 0 [(4 * 7 + x * 7) + -15] + -1[2(x + -3) + 2] = 0 [(28 + 7x) + -15] + -1[2(x + -3) + 2] = 0 Reorder the terms: [28 + -15 + 7x] + -1[2(x + -3) + 2] = 0 Combine like terms: 28 + -15 = 13 [13 + 7x] + -1[2(x + -3) + 2] = 0 Remove brackets around [13 + 7x] 13 + 7x + -1[2(x + -3) + 2] = 0 Reorder the terms: 13 + 7x + -1[2(-3 + x) + 2] = 0 13 + 7x + -1[(-3 * 2 + x * 2) + 2] = 0 13 + 7x + -1[(-6 + 2x) + 2] = 0 Reorder the terms: 13 + 7x + -1[-6 + 2 + 2x] = 0 Combine like terms: -6 + 2 = -4 13 + 7x + -1[-4 + 2x] = 0 13 + 7x + [-4 * -1 + 2x * -1] = 0 13 + 7x + [4 + -2x] = 0 Reorder the terms: 13 + 4 + 7x + -2x = 0 Combine like terms: 13 + 4 = 17 17 + 7x + -2x = 0 Combine like terms: 7x + -2x = 5x 17 + 5x = 0 Solving 17 + 5x = 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 + 5x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 5x = 0 + -17 5x = 0 + -17 Combine like terms: 0 + -17 = -17 5x = -17 Divide each side by '5'. x = -3.4 Simplifying x = -3.4
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