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Simplifying 10x + 45 = 3x + 13 Reorder the terms: 45 + 10x = 3x + 13 Reorder the terms: 45 + 10x = 13 + 3x Solving 45 + 10x = 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 + 10x + -3x = 13 + 3x + -3x Combine like terms: 10x + -3x = 7x 45 + 7x = 13 + 3x + -3x Combine like terms: 3x + -3x = 0 45 + 7x = 13 + 0 45 + 7x = 13 Add '-45' to each side of the equation. 45 + -45 + 7x = 13 + -45 Combine like terms: 45 + -45 = 0 0 + 7x = 13 + -45 7x = 13 + -45 Combine like terms: 13 + -45 = -32 7x = -32 Divide each side by '7'. x = -4.571428571 Simplifying x = -4.571428571
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