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Simplifying 7x + 13 = 4x + 14 Reorder the terms: 13 + 7x = 4x + 14 Reorder the terms: 13 + 7x = 14 + 4x Solving 13 + 7x = 14 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 13 + 7x + -4x = 14 + 4x + -4x Combine like terms: 7x + -4x = 3x 13 + 3x = 14 + 4x + -4x Combine like terms: 4x + -4x = 0 13 + 3x = 14 + 0 13 + 3x = 14 Add '-13' to each side of the equation. 13 + -13 + 3x = 14 + -13 Combine like terms: 13 + -13 = 0 0 + 3x = 14 + -13 3x = 14 + -13 Combine like terms: 14 + -13 = 1 3x = 1 Divide each side by '3'. x = 0.3333333333 Simplifying x = 0.3333333333
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