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Simplifying (4x + -5) + (2x + -7) = 54 Reorder the terms: (-5 + 4x) + (2x + -7) = 54 Remove parenthesis around (-5 + 4x) -5 + 4x + (2x + -7) = 54 Reorder the terms: -5 + 4x + (-7 + 2x) = 54 Remove parenthesis around (-7 + 2x) -5 + 4x + -7 + 2x = 54 Reorder the terms: -5 + -7 + 4x + 2x = 54 Combine like terms: -5 + -7 = -12 -12 + 4x + 2x = 54 Combine like terms: 4x + 2x = 6x -12 + 6x = 54 Solving -12 + 6x = 54 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 + 12 + 6x = 54 + 12 Combine like terms: -12 + 12 = 0 0 + 6x = 54 + 12 6x = 54 + 12 Combine like terms: 54 + 12 = 66 6x = 66 Divide each side by '6'. x = 11 Simplifying x = 11
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