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Simplifying 7(5x + -2) + -1x = -14 + 5x Reorder the terms: 7(-2 + 5x) + -1x = -14 + 5x (-2 * 7 + 5x * 7) + -1x = -14 + 5x (-14 + 35x) + -1x = -14 + 5x Combine like terms: 35x + -1x = 34x -14 + 34x = -14 + 5x Add '14' to each side of the equation. -14 + 14 + 34x = -14 + 14 + 5x Combine like terms: -14 + 14 = 0 0 + 34x = -14 + 14 + 5x 34x = -14 + 14 + 5x Combine like terms: -14 + 14 = 0 34x = 0 + 5x 34x = 5x Solving 34x = 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. 34x + -5x = 5x + -5x Combine like terms: 34x + -5x = 29x 29x = 5x + -5x Combine like terms: 5x + -5x = 0 29x = 0 Divide each side by '29'. x = 0 Simplifying x = 0
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