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Simplifying 45x + -2 = (34x + 7) + 8x Reorder the terms: -2 + 45x = (34x + 7) + 8x Reorder the terms: -2 + 45x = (7 + 34x) + 8x Remove parenthesis around (7 + 34x) -2 + 45x = 7 + 34x + 8x Combine like terms: 34x + 8x = 42x -2 + 45x = 7 + 42x Solving -2 + 45x = 7 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. -2 + 45x + -42x = 7 + 42x + -42x Combine like terms: 45x + -42x = 3x -2 + 3x = 7 + 42x + -42x Combine like terms: 42x + -42x = 0 -2 + 3x = 7 + 0 -2 + 3x = 7 Add '2' to each side of the equation. -2 + 2 + 3x = 7 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 7 + 2 3x = 7 + 2 Combine like terms: 7 + 2 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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