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Simplifying -5x + 34 = 2(7x + 1) Reorder the terms: 34 + -5x = 2(7x + 1) Reorder the terms: 34 + -5x = 2(1 + 7x) 34 + -5x = (1 * 2 + 7x * 2) 34 + -5x = (2 + 14x) Solving 34 + -5x = 2 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 34 + -5x + -14x = 2 + 14x + -14x Combine like terms: -5x + -14x = -19x 34 + -19x = 2 + 14x + -14x Combine like terms: 14x + -14x = 0 34 + -19x = 2 + 0 34 + -19x = 2 Add '-34' to each side of the equation. 34 + -34 + -19x = 2 + -34 Combine like terms: 34 + -34 = 0 0 + -19x = 2 + -34 -19x = 2 + -34 Combine like terms: 2 + -34 = -32 -19x = -32 Divide each side by '-19'. x = 1.684210526 Simplifying x = 1.684210526
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