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Simplifying (5x + -6) + -1(4x + 7) = 2 Reorder the terms: (-6 + 5x) + -1(4x + 7) = 2 Remove parenthesis around (-6 + 5x) -6 + 5x + -1(4x + 7) = 2 Reorder the terms: -6 + 5x + -1(7 + 4x) = 2 -6 + 5x + (7 * -1 + 4x * -1) = 2 -6 + 5x + (-7 + -4x) = 2 Reorder the terms: -6 + -7 + 5x + -4x = 2 Combine like terms: -6 + -7 = -13 -13 + 5x + -4x = 2 Combine like terms: 5x + -4x = 1x -13 + 1x = 2 Solving -13 + 1x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 1x = 2 + 13 Combine like terms: -13 + 13 = 0 0 + 1x = 2 + 13 1x = 2 + 13 Combine like terms: 2 + 13 = 15 1x = 15 Divide each side by '1'. x = 15 Simplifying x = 15
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