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