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Simplifying 5x + -6 = 33(x + 1) + 2x + -9 Reorder the terms: -6 + 5x = 33(x + 1) + 2x + -9 Reorder the terms: -6 + 5x = 33(1 + x) + 2x + -9 -6 + 5x = (1 * 33 + x * 33) + 2x + -9 -6 + 5x = (33 + 33x) + 2x + -9 Reorder the terms: -6 + 5x = 33 + -9 + 33x + 2x Combine like terms: 33 + -9 = 24 -6 + 5x = 24 + 33x + 2x Combine like terms: 33x + 2x = 35x -6 + 5x = 24 + 35x Solving -6 + 5x = 24 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. -6 + 5x + -35x = 24 + 35x + -35x Combine like terms: 5x + -35x = -30x -6 + -30x = 24 + 35x + -35x Combine like terms: 35x + -35x = 0 -6 + -30x = 24 + 0 -6 + -30x = 24 Add '6' to each side of the equation. -6 + 6 + -30x = 24 + 6 Combine like terms: -6 + 6 = 0 0 + -30x = 24 + 6 -30x = 24 + 6 Combine like terms: 24 + 6 = 30 -30x = 30 Divide each side by '-30'. x = -1 Simplifying x = -1
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