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Simplifying X + -1(2x + 1) = 8 + -1(3x + 13) Reorder the terms: X + -1(1 + 2x) = 8 + -1(3x + 13) X + (1 * -1 + 2x * -1) = 8 + -1(3x + 13) X + (-1 + -2x) = 8 + -1(3x + 13) Reorder the terms: -1 + X + -2x = 8 + -1(3x + 13) Reorder the terms: -1 + X + -2x = 8 + -1(13 + 3x) -1 + X + -2x = 8 + (13 * -1 + 3x * -1) -1 + X + -2x = 8 + (-13 + -3x) Combine like terms: 8 + -13 = -5 -1 + X + -2x = -5 + -3x Solving -1 + X + -2x = -5 + -3x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '1' to each side of the equation. -1 + X + 1 + -2x = -5 + 1 + -3x Reorder the terms: -1 + 1 + X + -2x = -5 + 1 + -3x Combine like terms: -1 + 1 = 0 0 + X + -2x = -5 + 1 + -3x X + -2x = -5 + 1 + -3x Combine like terms: -5 + 1 = -4 X + -2x = -4 + -3x Add '2x' to each side of the equation. X + -2x + 2x = -4 + -3x + 2x Combine like terms: -2x + 2x = 0 X + 0 = -4 + -3x + 2x X = -4 + -3x + 2x Combine like terms: -3x + 2x = -1x X = -4 + -1x Simplifying X = -4 + -1x
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