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Simplifying 2(7x + -8) = 5x + 29 Reorder the terms: 2(-8 + 7x) = 5x + 29 (-8 * 2 + 7x * 2) = 5x + 29 (-16 + 14x) = 5x + 29 Reorder the terms: -16 + 14x = 29 + 5x Solving -16 + 14x = 29 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -16 + 14x + -5x = 29 + 5x + -5x Combine like terms: 14x + -5x = 9x -16 + 9x = 29 + 5x + -5x Combine like terms: 5x + -5x = 0 -16 + 9x = 29 + 0 -16 + 9x = 29 Add '16' to each side of the equation. -16 + 16 + 9x = 29 + 16 Combine like terms: -16 + 16 = 0 0 + 9x = 29 + 16 9x = 29 + 16 Combine like terms: 29 + 16 = 45 9x = 45 Divide each side by '9'. x = 5 Simplifying x = 5
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