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Simplifying [3(x + 2) + -10] + -1[2(x + 3) + 12] = 0 Reorder the terms: [3(2 + x) + -10] + -1[2(x + 3) + 12] = 0 [(2 * 3 + x * 3) + -10] + -1[2(x + 3) + 12] = 0 [(6 + 3x) + -10] + -1[2(x + 3) + 12] = 0 Reorder the terms: [6 + -10 + 3x] + -1[2(x + 3) + 12] = 0 Combine like terms: 6 + -10 = -4 [-4 + 3x] + -1[2(x + 3) + 12] = 0 Remove brackets around [-4 + 3x] -4 + 3x + -1[2(x + 3) + 12] = 0 Reorder the terms: -4 + 3x + -1[2(3 + x) + 12] = 0 -4 + 3x + -1[(3 * 2 + x * 2) + 12] = 0 -4 + 3x + -1[(6 + 2x) + 12] = 0 Reorder the terms: -4 + 3x + -1[6 + 12 + 2x] = 0 Combine like terms: 6 + 12 = 18 -4 + 3x + -1[18 + 2x] = 0 -4 + 3x + [18 * -1 + 2x * -1] = 0 -4 + 3x + [-18 + -2x] = 0 Reorder the terms: -4 + -18 + 3x + -2x = 0 Combine like terms: -4 + -18 = -22 -22 + 3x + -2x = 0 Combine like terms: 3x + -2x = 1x -22 + 1x = 0 Solving -22 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 1x = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 1x = 0 + 22 1x = 0 + 22 Combine like terms: 0 + 22 = 22 1x = 22 Divide each side by '1'. x = 22 Simplifying x = 22
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