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Simplifying 15 = 4(X + -4) + -1(X + -7) Reorder the terms: 15 = 4(-4 + X) + -1(X + -7) 15 = (-4 * 4 + X * 4) + -1(X + -7) 15 = (-16 + 4X) + -1(X + -7) Reorder the terms: 15 = -16 + 4X + -1(-7 + X) 15 = -16 + 4X + (-7 * -1 + X * -1) 15 = -16 + 4X + (7 + -1X) Reorder the terms: 15 = -16 + 7 + 4X + -1X Combine like terms: -16 + 7 = -9 15 = -9 + 4X + -1X Combine like terms: 4X + -1X = 3X 15 = -9 + 3X Solving 15 = -9 + 3X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3X' to each side of the equation. 15 + -3X = -9 + 3X + -3X Combine like terms: 3X + -3X = 0 15 + -3X = -9 + 0 15 + -3X = -9 Add '-15' to each side of the equation. 15 + -15 + -3X = -9 + -15 Combine like terms: 15 + -15 = 0 0 + -3X = -9 + -15 -3X = -9 + -15 Combine like terms: -9 + -15 = -24 -3X = -24 Divide each side by '-3'. X = 8 Simplifying X = 8
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