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Simplifying 7(x + 33) + 9 = 5(x + -2) + -3x Reorder the terms: 7(33 + x) + 9 = 5(x + -2) + -3x (33 * 7 + x * 7) + 9 = 5(x + -2) + -3x (231 + 7x) + 9 = 5(x + -2) + -3x Reorder the terms: 231 + 9 + 7x = 5(x + -2) + -3x Combine like terms: 231 + 9 = 240 240 + 7x = 5(x + -2) + -3x Reorder the terms: 240 + 7x = 5(-2 + x) + -3x 240 + 7x = (-2 * 5 + x * 5) + -3x 240 + 7x = (-10 + 5x) + -3x Combine like terms: 5x + -3x = 2x 240 + 7x = -10 + 2x Solving 240 + 7x = -10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 240 + 7x + -2x = -10 + 2x + -2x Combine like terms: 7x + -2x = 5x 240 + 5x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 240 + 5x = -10 + 0 240 + 5x = -10 Add '-240' to each side of the equation. 240 + -240 + 5x = -10 + -240 Combine like terms: 240 + -240 = 0 0 + 5x = -10 + -240 5x = -10 + -240 Combine like terms: -10 + -240 = -250 5x = -250 Divide each side by '5'. x = -50 Simplifying x = -50
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