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Simplifying 3(x + -9) + 2x = 55(x + 3) + -42 Reorder the terms: 3(-9 + x) + 2x = 55(x + 3) + -42 (-9 * 3 + x * 3) + 2x = 55(x + 3) + -42 (-27 + 3x) + 2x = 55(x + 3) + -42 Combine like terms: 3x + 2x = 5x -27 + 5x = 55(x + 3) + -42 Reorder the terms: -27 + 5x = 55(3 + x) + -42 -27 + 5x = (3 * 55 + x * 55) + -42 -27 + 5x = (165 + 55x) + -42 Reorder the terms: -27 + 5x = 165 + -42 + 55x Combine like terms: 165 + -42 = 123 -27 + 5x = 123 + 55x Solving -27 + 5x = 123 + 55x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-55x' to each side of the equation. -27 + 5x + -55x = 123 + 55x + -55x Combine like terms: 5x + -55x = -50x -27 + -50x = 123 + 55x + -55x Combine like terms: 55x + -55x = 0 -27 + -50x = 123 + 0 -27 + -50x = 123 Add '27' to each side of the equation. -27 + 27 + -50x = 123 + 27 Combine like terms: -27 + 27 = 0 0 + -50x = 123 + 27 -50x = 123 + 27 Combine like terms: 123 + 27 = 150 -50x = 150 Divide each side by '-50'. x = -3 Simplifying x = -3
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