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Simplifying 4(X + -5) + 6 = 2(X + -4) Reorder the terms: 4(-5 + X) + 6 = 2(X + -4) (-5 * 4 + X * 4) + 6 = 2(X + -4) (-20 + 4X) + 6 = 2(X + -4) Reorder the terms: -20 + 6 + 4X = 2(X + -4) Combine like terms: -20 + 6 = -14 -14 + 4X = 2(X + -4) Reorder the terms: -14 + 4X = 2(-4 + X) -14 + 4X = (-4 * 2 + X * 2) -14 + 4X = (-8 + 2X) Solving -14 + 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. -14 + 4X + -2X = -8 + 2X + -2X Combine like terms: 4X + -2X = 2X -14 + 2X = -8 + 2X + -2X Combine like terms: 2X + -2X = 0 -14 + 2X = -8 + 0 -14 + 2X = -8 Add '14' to each side of the equation. -14 + 14 + 2X = -8 + 14 Combine like terms: -14 + 14 = 0 0 + 2X = -8 + 14 2X = -8 + 14 Combine like terms: -8 + 14 = 6 2X = 6 Divide each side by '2'. X = 3 Simplifying X = 3
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