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Simplifying 13x + 7 = 9x + 19 Reorder the terms: 7 + 13x = 9x + 19 Reorder the terms: 7 + 13x = 19 + 9x Solving 7 + 13x = 19 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 7 + 13x + -9x = 19 + 9x + -9x Combine like terms: 13x + -9x = 4x 7 + 4x = 19 + 9x + -9x Combine like terms: 9x + -9x = 0 7 + 4x = 19 + 0 7 + 4x = 19 Add '-7' to each side of the equation. 7 + -7 + 4x = 19 + -7 Combine like terms: 7 + -7 = 0 0 + 4x = 19 + -7 4x = 19 + -7 Combine like terms: 19 + -7 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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