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Simplifying (4x + 9) + -1(x + 9) = 33 Reorder the terms: (9 + 4x) + -1(x + 9) = 33 Remove parenthesis around (9 + 4x) 9 + 4x + -1(x + 9) = 33 Reorder the terms: 9 + 4x + -1(9 + x) = 33 9 + 4x + (9 * -1 + x * -1) = 33 9 + 4x + (-9 + -1x) = 33 Reorder the terms: 9 + -9 + 4x + -1x = 33 Combine like terms: 9 + -9 = 0 0 + 4x + -1x = 33 4x + -1x = 33 Combine like terms: 4x + -1x = 3x 3x = 33 Solving 3x = 33 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '3'. x = 11 Simplifying x = 11
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