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Simplifying 10x + 7 = 9x + 28 Reorder the terms: 7 + 10x = 9x + 28 Reorder the terms: 7 + 10x = 28 + 9x Solving 7 + 10x = 28 + 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 + 10x + -9x = 28 + 9x + -9x Combine like terms: 10x + -9x = 1x 7 + 1x = 28 + 9x + -9x Combine like terms: 9x + -9x = 0 7 + 1x = 28 + 0 7 + 1x = 28 Add '-7' to each side of the equation. 7 + -7 + 1x = 28 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 28 + -7 1x = 28 + -7 Combine like terms: 28 + -7 = 21 1x = 21 Divide each side by '1'. x = 21 Simplifying x = 21
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