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Simplifying 2(X + -5) = 3(2X + 1) Reorder the terms: 2(-5 + X) = 3(2X + 1) (-5 * 2 + X * 2) = 3(2X + 1) (-10 + 2X) = 3(2X + 1) Reorder the terms: -10 + 2X = 3(1 + 2X) -10 + 2X = (1 * 3 + 2X * 3) -10 + 2X = (3 + 6X) Solving -10 + 2X = 3 + 6X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-6X' to each side of the equation. -10 + 2X + -6X = 3 + 6X + -6X Combine like terms: 2X + -6X = -4X -10 + -4X = 3 + 6X + -6X Combine like terms: 6X + -6X = 0 -10 + -4X = 3 + 0 -10 + -4X = 3 Add '10' to each side of the equation. -10 + 10 + -4X = 3 + 10 Combine like terms: -10 + 10 = 0 0 + -4X = 3 + 10 -4X = 3 + 10 Combine like terms: 3 + 10 = 13 -4X = 13 Divide each side by '-4'. X = -3.25 Simplifying X = -3.25
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