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Simplifying 13x + 7 = 6x + 3 + 7 + x + 4 Reorder the terms: 7 + 13x = 6x + 3 + 7 + x + 4 Reorder the terms: 7 + 13x = 3 + 7 + 4 + 6x + x Combine like terms: 3 + 7 = 10 7 + 13x = 10 + 4 + 6x + x Combine like terms: 10 + 4 = 14 7 + 13x = 14 + 6x + x Combine like terms: 6x + x = 7x 7 + 13x = 14 + 7x Solving 7 + 13x = 14 + 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. 7 + 13x + -7x = 14 + 7x + -7x Combine like terms: 13x + -7x = 6x 7 + 6x = 14 + 7x + -7x Combine like terms: 7x + -7x = 0 7 + 6x = 14 + 0 7 + 6x = 14 Add '-7' to each side of the equation. 7 + -7 + 6x = 14 + -7 Combine like terms: 7 + -7 = 0 0 + 6x = 14 + -7 6x = 14 + -7 Combine like terms: 14 + -7 = 7 6x = 7 Divide each side by '6'. x = 1.166666667 Simplifying x = 1.166666667
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