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Simplifying 4(x + -3) + -1(X + -5) = 2(X + 4) Reorder the terms: 4(-3 + x) + -1(X + -5) = 2(X + 4) (-3 * 4 + x * 4) + -1(X + -5) = 2(X + 4) (-12 + 4x) + -1(X + -5) = 2(X + 4) Reorder the terms: -12 + 4x + -1(-5 + X) = 2(X + 4) -12 + 4x + (-5 * -1 + X * -1) = 2(X + 4) -12 + 4x + (5 + -1X) = 2(X + 4) Reorder the terms: -12 + 5 + -1X + 4x = 2(X + 4) Combine like terms: -12 + 5 = -7 -7 + -1X + 4x = 2(X + 4) Reorder the terms: -7 + -1X + 4x = 2(4 + X) -7 + -1X + 4x = (4 * 2 + X * 2) -7 + -1X + 4x = (8 + 2X) Solving -7 + -1X + 4x = 8 + 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. -7 + -1X + -2X + 4x = 8 + 2X + -2X Combine like terms: -1X + -2X = -3X -7 + -3X + 4x = 8 + 2X + -2X Combine like terms: 2X + -2X = 0 -7 + -3X + 4x = 8 + 0 -7 + -3X + 4x = 8 Add '7' to each side of the equation. -7 + -3X + 7 + 4x = 8 + 7 Reorder the terms: -7 + 7 + -3X + 4x = 8 + 7 Combine like terms: -7 + 7 = 0 0 + -3X + 4x = 8 + 7 -3X + 4x = 8 + 7 Combine like terms: 8 + 7 = 15 -3X + 4x = 15 Add '-4x' to each side of the equation. -3X + 4x + -4x = 15 + -4x Combine like terms: 4x + -4x = 0 -3X + 0 = 15 + -4x -3X = 15 + -4x Divide each side by '-3'. X = -5 + 1.333333333x Simplifying X = -5 + 1.333333333x
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