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Simplifying (2x + 5) + -1(4x + 9) = 74 Reorder the terms: (5 + 2x) + -1(4x + 9) = 74 Remove parenthesis around (5 + 2x) 5 + 2x + -1(4x + 9) = 74 Reorder the terms: 5 + 2x + -1(9 + 4x) = 74 5 + 2x + (9 * -1 + 4x * -1) = 74 5 + 2x + (-9 + -4x) = 74 Reorder the terms: 5 + -9 + 2x + -4x = 74 Combine like terms: 5 + -9 = -4 -4 + 2x + -4x = 74 Combine like terms: 2x + -4x = -2x -4 + -2x = 74 Solving -4 + -2x = 74 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 + 4 + -2x = 74 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = 74 + 4 -2x = 74 + 4 Combine like terms: 74 + 4 = 78 -2x = 78 Divide each side by '-2'. x = -39 Simplifying x = -39
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