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Simplifying [3x + 2(x + -1)] + -1[2x + -1(x + 3)] = 0 Reorder the terms: [3x + 2(-1 + x)] + -1[2x + -1(x + 3)] = 0 [3x + (-1 * 2 + x * 2)] + -1[2x + -1(x + 3)] = 0 [3x + (-2 + 2x)] + -1[2x + -1(x + 3)] = 0 Reorder the terms: [-2 + 3x + 2x] + -1[2x + -1(x + 3)] = 0 Combine like terms: 3x + 2x = 5x [-2 + 5x] + -1[2x + -1(x + 3)] = 0 Remove brackets around [-2 + 5x] -2 + 5x + -1[2x + -1(x + 3)] = 0 Reorder the terms: -2 + 5x + -1[2x + -1(3 + x)] = 0 -2 + 5x + -1[2x + (3 * -1 + x * -1)] = 0 -2 + 5x + -1[2x + (-3 + -1x)] = 0 Reorder the terms: -2 + 5x + -1[-3 + 2x + -1x] = 0 Combine like terms: 2x + -1x = 1x -2 + 5x + -1[-3 + 1x] = 0 -2 + 5x + [-3 * -1 + 1x * -1] = 0 -2 + 5x + [3 + -1x] = 0 Reorder the terms: -2 + 3 + 5x + -1x = 0 Combine like terms: -2 + 3 = 1 1 + 5x + -1x = 0 Combine like terms: 5x + -1x = 4x 1 + 4x = 0 Solving 1 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 0 + -1 4x = 0 + -1 Combine like terms: 0 + -1 = -1 4x = -1 Divide each side by '4'. x = -0.25 Simplifying x = -0.25
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