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Simplifying [3(x + 7) + -2x] + 3[x + 2(x + -1)] = 0 Reorder the terms: [3(7 + x) + -2x] + 3[x + 2(x + -1)] = 0 [(7 * 3 + x * 3) + -2x] + 3[x + 2(x + -1)] = 0 [(21 + 3x) + -2x] + 3[x + 2(x + -1)] = 0 Combine like terms: 3x + -2x = 1x [21 + 1x] + 3[x + 2(x + -1)] = 0 Remove brackets around [21 + 1x] 21 + 1x + 3[x + 2(x + -1)] = 0 Reorder the terms: 21 + 1x + 3[x + 2(-1 + x)] = 0 21 + 1x + 3[x + (-1 * 2 + x * 2)] = 0 21 + 1x + 3[x + (-2 + 2x)] = 0 Reorder the terms: 21 + 1x + 3[-2 + x + 2x] = 0 Combine like terms: x + 2x = 3x 21 + 1x + 3[-2 + 3x] = 0 21 + 1x + [-2 * 3 + 3x * 3] = 0 21 + 1x + [-6 + 9x] = 0 Reorder the terms: 21 + -6 + 1x + 9x = 0 Combine like terms: 21 + -6 = 15 15 + 1x + 9x = 0 Combine like terms: 1x + 9x = 10x 15 + 10x = 0 Solving 15 + 10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 10x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 10x = 0 + -15 10x = 0 + -15 Combine like terms: 0 + -15 = -15 10x = -15 Divide each side by '10'. x = -1.5 Simplifying x = -1.5
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