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Simplifying 3[4(5x + -2) + -4(2x + -8)] = 2x + -200 Reorder the terms: 3[4(-2 + 5x) + -4(2x + -8)] = 2x + -200 3[(-2 * 4 + 5x * 4) + -4(2x + -8)] = 2x + -200 3[(-8 + 20x) + -4(2x + -8)] = 2x + -200 Reorder the terms: 3[-8 + 20x + -4(-8 + 2x)] = 2x + -200 3[-8 + 20x + (-8 * -4 + 2x * -4)] = 2x + -200 3[-8 + 20x + (32 + -8x)] = 2x + -200 Reorder the terms: 3[-8 + 32 + 20x + -8x] = 2x + -200 Combine like terms: -8 + 32 = 24 3[24 + 20x + -8x] = 2x + -200 Combine like terms: 20x + -8x = 12x 3[24 + 12x] = 2x + -200 [24 * 3 + 12x * 3] = 2x + -200 [72 + 36x] = 2x + -200 Reorder the terms: 72 + 36x = -200 + 2x Solving 72 + 36x = -200 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 72 + 36x + -2x = -200 + 2x + -2x Combine like terms: 36x + -2x = 34x 72 + 34x = -200 + 2x + -2x Combine like terms: 2x + -2x = 0 72 + 34x = -200 + 0 72 + 34x = -200 Add '-72' to each side of the equation. 72 + -72 + 34x = -200 + -72 Combine like terms: 72 + -72 = 0 0 + 34x = -200 + -72 34x = -200 + -72 Combine like terms: -200 + -72 = -272 34x = -272 Divide each side by '34'. x = -8 Simplifying x = -8
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