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Simplifying 5x + -7 + 14 = 3x + -7 + 28 Reorder the terms: -7 + 14 + 5x = 3x + -7 + 28 Combine like terms: -7 + 14 = 7 7 + 5x = 3x + -7 + 28 Reorder the terms: 7 + 5x = -7 + 28 + 3x Combine like terms: -7 + 28 = 21 7 + 5x = 21 + 3x Solving 7 + 5x = 21 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 7 + 5x + -3x = 21 + 3x + -3x Combine like terms: 5x + -3x = 2x 7 + 2x = 21 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + 2x = 21 + 0 7 + 2x = 21 Add '-7' to each side of the equation. 7 + -7 + 2x = 21 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 21 + -7 2x = 21 + -7 Combine like terms: 21 + -7 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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