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Simplifying -7x + 45 = 3x + 35 Reorder the terms: 45 + -7x = 3x + 35 Reorder the terms: 45 + -7x = 35 + 3x Solving 45 + -7x = 35 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 45 + -7x + -3x = 35 + 3x + -3x Combine like terms: -7x + -3x = -10x 45 + -10x = 35 + 3x + -3x Combine like terms: 3x + -3x = 0 45 + -10x = 35 + 0 45 + -10x = 35 Add '-45' to each side of the equation. 45 + -45 + -10x = 35 + -45 Combine like terms: 45 + -45 = 0 0 + -10x = 35 + -45 -10x = 35 + -45 Combine like terms: 35 + -45 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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