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Simplifying 7x + -6(53 + -5x) = 33 + -2x 7x + (53 * -6 + -5x * -6) = 33 + -2x 7x + (-318 + 30x) = 33 + -2x Reorder the terms: -318 + 7x + 30x = 33 + -2x Combine like terms: 7x + 30x = 37x -318 + 37x = 33 + -2x Solving -318 + 37x = 33 + -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. -318 + 37x + 2x = 33 + -2x + 2x Combine like terms: 37x + 2x = 39x -318 + 39x = 33 + -2x + 2x Combine like terms: -2x + 2x = 0 -318 + 39x = 33 + 0 -318 + 39x = 33 Add '318' to each side of the equation. -318 + 318 + 39x = 33 + 318 Combine like terms: -318 + 318 = 0 0 + 39x = 33 + 318 39x = 33 + 318 Combine like terms: 33 + 318 = 351 39x = 351 Divide each side by '39'. x = 9 Simplifying x = 9
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