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Simplifying 5(3 + -2X) + -10 = 4X + (-1(2X + -5) + 15) (3 * 5 + -2X * 5) + -10 = 4X + (-1(2X + -5) + 15) (15 + -10X) + -10 = 4X + (-1(2X + -5) + 15) Reorder the terms: 15 + -10 + -10X = 4X + (-1(2X + -5) + 15) Combine like terms: 15 + -10 = 5 5 + -10X = 4X + (-1(2X + -5) + 15) Reorder the terms: 5 + -10X = 4X + (-1(-5 + 2X) + 15) 5 + -10X = 4X + ((-5 * -1 + 2X * -1) + 15) 5 + -10X = 4X + ((5 + -2X) + 15) Reorder the terms: 5 + -10X = 4X + (5 + 15 + -2X) Combine like terms: 5 + 15 = 20 5 + -10X = 4X + (20 + -2X) Remove parenthesis around (20 + -2X) 5 + -10X = 4X + 20 + -2X Reorder the terms: 5 + -10X = 20 + 4X + -2X Combine like terms: 4X + -2X = 2X 5 + -10X = 20 + 2X Solving 5 + -10X = 20 + 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. 5 + -10X + -2X = 20 + 2X + -2X Combine like terms: -10X + -2X = -12X 5 + -12X = 20 + 2X + -2X Combine like terms: 2X + -2X = 0 5 + -12X = 20 + 0 5 + -12X = 20 Add '-5' to each side of the equation. 5 + -5 + -12X = 20 + -5 Combine like terms: 5 + -5 = 0 0 + -12X = 20 + -5 -12X = 20 + -5 Combine like terms: 20 + -5 = 15 -12X = 15 Divide each side by '-12'. X = -1.25 Simplifying X = -1.25
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