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Simplifying 6x + 7(2x + -2) = 29 + -5x Reorder the terms: 6x + 7(-2 + 2x) = 29 + -5x 6x + (-2 * 7 + 2x * 7) = 29 + -5x 6x + (-14 + 14x) = 29 + -5x Reorder the terms: -14 + 6x + 14x = 29 + -5x Combine like terms: 6x + 14x = 20x -14 + 20x = 29 + -5x Solving -14 + 20x = 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. -14 + 20x + 5x = 29 + -5x + 5x Combine like terms: 20x + 5x = 25x -14 + 25x = 29 + -5x + 5x Combine like terms: -5x + 5x = 0 -14 + 25x = 29 + 0 -14 + 25x = 29 Add '14' to each side of the equation. -14 + 14 + 25x = 29 + 14 Combine like terms: -14 + 14 = 0 0 + 25x = 29 + 14 25x = 29 + 14 Combine like terms: 29 + 14 = 43 25x = 43 Divide each side by '25'. x = 1.72 Simplifying x = 1.72
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