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Simplifying 10x + 8 = 7x + 29 Reorder the terms: 8 + 10x = 7x + 29 Reorder the terms: 8 + 10x = 29 + 7x Solving 8 + 10x = 29 + 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. 8 + 10x + -7x = 29 + 7x + -7x Combine like terms: 10x + -7x = 3x 8 + 3x = 29 + 7x + -7x Combine like terms: 7x + -7x = 0 8 + 3x = 29 + 0 8 + 3x = 29 Add '-8' to each side of the equation. 8 + -8 + 3x = 29 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = 29 + -8 3x = 29 + -8 Combine like terms: 29 + -8 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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