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Simplifying 10x + -7(x + 5) = 29 Reorder the terms: 10x + -7(5 + x) = 29 10x + (5 * -7 + x * -7) = 29 10x + (-35 + -7x) = 29 Reorder the terms: -35 + 10x + -7x = 29 Combine like terms: 10x + -7x = 3x -35 + 3x = 29 Solving -35 + 3x = 29 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 3x = 29 + 35 Combine like terms: -35 + 35 = 0 0 + 3x = 29 + 35 3x = 29 + 35 Combine like terms: 29 + 35 = 64 3x = 64 Divide each side by '3'. x = 21.33333333 Simplifying x = 21.33333333
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