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Simplifying 5x + -3(2X + 1) = -2(X + -6) + -14 Reorder the terms: 5x + -3(1 + 2X) = -2(X + -6) + -14 5x + (1 * -3 + 2X * -3) = -2(X + -6) + -14 5x + (-3 + -6X) = -2(X + -6) + -14 Reorder the terms: -3 + -6X + 5x = -2(X + -6) + -14 Reorder the terms: -3 + -6X + 5x = -2(-6 + X) + -14 -3 + -6X + 5x = (-6 * -2 + X * -2) + -14 -3 + -6X + 5x = (12 + -2X) + -14 Reorder the terms: -3 + -6X + 5x = 12 + -14 + -2X Combine like terms: 12 + -14 = -2 -3 + -6X + 5x = -2 + -2X Solving -3 + -6X + 5x = -2 + -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. -3 + -6X + 2X + 5x = -2 + -2X + 2X Combine like terms: -6X + 2X = -4X -3 + -4X + 5x = -2 + -2X + 2X Combine like terms: -2X + 2X = 0 -3 + -4X + 5x = -2 + 0 -3 + -4X + 5x = -2 Add '3' to each side of the equation. -3 + -4X + 3 + 5x = -2 + 3 Reorder the terms: -3 + 3 + -4X + 5x = -2 + 3 Combine like terms: -3 + 3 = 0 0 + -4X + 5x = -2 + 3 -4X + 5x = -2 + 3 Combine like terms: -2 + 3 = 1 -4X + 5x = 1 Add '-5x' to each side of the equation. -4X + 5x + -5x = 1 + -5x Combine like terms: 5x + -5x = 0 -4X + 0 = 1 + -5x -4X = 1 + -5x Divide each side by '-4'. X = -0.25 + 1.25x Simplifying X = -0.25 + 1.25x
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