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Simplifying 13x + 21 = 15x + 7 Reorder the terms: 21 + 13x = 15x + 7 Reorder the terms: 21 + 13x = 7 + 15x Solving 21 + 13x = 7 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 21 + 13x + -15x = 7 + 15x + -15x Combine like terms: 13x + -15x = -2x 21 + -2x = 7 + 15x + -15x Combine like terms: 15x + -15x = 0 21 + -2x = 7 + 0 21 + -2x = 7 Add '-21' to each side of the equation. 21 + -21 + -2x = 7 + -21 Combine like terms: 21 + -21 = 0 0 + -2x = 7 + -21 -2x = 7 + -21 Combine like terms: 7 + -21 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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