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Simplifying X + -1(14 + 2x) = 13 + 1(2x + -3) X + (14 * -1 + 2x * -1) = 13 + 1(2x + -3) X + (-14 + -2x) = 13 + 1(2x + -3) Reorder the terms: -14 + X + -2x = 13 + 1(2x + -3) Reorder the terms: -14 + X + -2x = 13 + 1(-3 + 2x) -14 + X + -2x = 13 + (-3 * 1 + 2x * 1) -14 + X + -2x = 13 + (-3 + 2x) Combine like terms: 13 + -3 = 10 -14 + X + -2x = 10 + 2x Solving -14 + X + -2x = 10 + 2x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '14' to each side of the equation. -14 + X + 14 + -2x = 10 + 14 + 2x Reorder the terms: -14 + 14 + X + -2x = 10 + 14 + 2x Combine like terms: -14 + 14 = 0 0 + X + -2x = 10 + 14 + 2x X + -2x = 10 + 14 + 2x Combine like terms: 10 + 14 = 24 X + -2x = 24 + 2x Add '2x' to each side of the equation. X + -2x + 2x = 24 + 2x + 2x Combine like terms: -2x + 2x = 0 X + 0 = 24 + 2x + 2x X = 24 + 2x + 2x Combine like terms: 2x + 2x = 4x X = 24 + 4x Simplifying X = 24 + 4x
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