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Simplifying (X + -5) + -1(4x + 7) = 6 + 3x Reorder the terms: (-5 + X) + -1(4x + 7) = 6 + 3x Remove parenthesis around (-5 + X) -5 + X + -1(4x + 7) = 6 + 3x Reorder the terms: -5 + X + -1(7 + 4x) = 6 + 3x -5 + X + (7 * -1 + 4x * -1) = 6 + 3x -5 + X + (-7 + -4x) = 6 + 3x Reorder the terms: -5 + -7 + X + -4x = 6 + 3x Combine like terms: -5 + -7 = -12 -12 + X + -4x = 6 + 3x Solving -12 + X + -4x = 6 + 3x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '12' to each side of the equation. -12 + X + 12 + -4x = 6 + 12 + 3x Reorder the terms: -12 + 12 + X + -4x = 6 + 12 + 3x Combine like terms: -12 + 12 = 0 0 + X + -4x = 6 + 12 + 3x X + -4x = 6 + 12 + 3x Combine like terms: 6 + 12 = 18 X + -4x = 18 + 3x Add '4x' to each side of the equation. X + -4x + 4x = 18 + 3x + 4x Combine like terms: -4x + 4x = 0 X + 0 = 18 + 3x + 4x X = 18 + 3x + 4x Combine like terms: 3x + 4x = 7x X = 18 + 7x Simplifying X = 18 + 7x
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