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Simplifying X + -1(3x + 1) = 8 + -1(4x + -3) Reorder the terms: X + -1(1 + 3x) = 8 + -1(4x + -3) X + (1 * -1 + 3x * -1) = 8 + -1(4x + -3) X + (-1 + -3x) = 8 + -1(4x + -3) Reorder the terms: -1 + X + -3x = 8 + -1(4x + -3) Reorder the terms: -1 + X + -3x = 8 + -1(-3 + 4x) -1 + X + -3x = 8 + (-3 * -1 + 4x * -1) -1 + X + -3x = 8 + (3 + -4x) Combine like terms: 8 + 3 = 11 -1 + X + -3x = 11 + -4x Solving -1 + X + -3x = 11 + -4x 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 + -3x = 11 + 1 + -4x Reorder the terms: -1 + 1 + X + -3x = 11 + 1 + -4x Combine like terms: -1 + 1 = 0 0 + X + -3x = 11 + 1 + -4x X + -3x = 11 + 1 + -4x Combine like terms: 11 + 1 = 12 X + -3x = 12 + -4x Add '3x' to each side of the equation. X + -3x + 3x = 12 + -4x + 3x Combine like terms: -3x + 3x = 0 X + 0 = 12 + -4x + 3x X = 12 + -4x + 3x Combine like terms: -4x + 3x = -1x X = 12 + -1x Simplifying X = 12 + -1x
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