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Simplifying 5x + 3 = 7x + 13 Reorder the terms: 3 + 5x = 7x + 13 Reorder the terms: 3 + 5x = 13 + 7x Solving 3 + 5x = 13 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 3 + 5x + -7x = 13 + 7x + -7x Combine like terms: 5x + -7x = -2x 3 + -2x = 13 + 7x + -7x Combine like terms: 7x + -7x = 0 3 + -2x = 13 + 0 3 + -2x = 13 Add '-3' to each side of the equation. 3 + -3 + -2x = 13 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 13 + -3 -2x = 13 + -3 Combine like terms: 13 + -3 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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