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Simplifying (X + -1) + -3(x + 1) = 4(3 + -1x) Reorder the terms: (-1 + X) + -3(x + 1) = 4(3 + -1x) Remove parenthesis around (-1 + X) -1 + X + -3(x + 1) = 4(3 + -1x) Reorder the terms: -1 + X + -3(1 + x) = 4(3 + -1x) -1 + X + (1 * -3 + x * -3) = 4(3 + -1x) -1 + X + (-3 + -3x) = 4(3 + -1x) Reorder the terms: -1 + -3 + X + -3x = 4(3 + -1x) Combine like terms: -1 + -3 = -4 -4 + X + -3x = 4(3 + -1x) -4 + X + -3x = (3 * 4 + -1x * 4) -4 + X + -3x = (12 + -4x) Solving -4 + X + -3x = 12 + -4x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '4' to each side of the equation. -4 + X + 4 + -3x = 12 + 4 + -4x Reorder the terms: -4 + 4 + X + -3x = 12 + 4 + -4x Combine like terms: -4 + 4 = 0 0 + X + -3x = 12 + 4 + -4x X + -3x = 12 + 4 + -4x Combine like terms: 12 + 4 = 16 X + -3x = 16 + -4x Add '3x' to each side of the equation. X + -3x + 3x = 16 + -4x + 3x Combine like terms: -3x + 3x = 0 X + 0 = 16 + -4x + 3x X = 16 + -4x + 3x Combine like terms: -4x + 3x = -1x X = 16 + -1x Simplifying X = 16 + -1x
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