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Simplifying 7x + 45 = 3x + 13 Reorder the terms: 45 + 7x = 3x + 13 Reorder the terms: 45 + 7x = 13 + 3x Solving 45 + 7x = 13 + 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 = 13 + 3x + -3x Combine like terms: 7x + -3x = 4x 45 + 4x = 13 + 3x + -3x Combine like terms: 3x + -3x = 0 45 + 4x = 13 + 0 45 + 4x = 13 Add '-45' to each side of the equation. 45 + -45 + 4x = 13 + -45 Combine like terms: 45 + -45 = 0 0 + 4x = 13 + -45 4x = 13 + -45 Combine like terms: 13 + -45 = -32 4x = -32 Divide each side by '4'. x = -8 Simplifying x = -8
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