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Simplifying 7(2x + 1) = 2x + -7x Reorder the terms: 7(1 + 2x) = 2x + -7x (1 * 7 + 2x * 7) = 2x + -7x (7 + 14x) = 2x + -7x Combine like terms: 2x + -7x = -5x 7 + 14x = -5x Solving 7 + 14x = -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. 7 + 14x + 5x = -5x + 5x Combine like terms: 14x + 5x = 19x 7 + 19x = -5x + 5x Combine like terms: -5x + 5x = 0 7 + 19x = 0 Add '-7' to each side of the equation. 7 + -7 + 19x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 19x = 0 + -7 19x = 0 + -7 Combine like terms: 0 + -7 = -7 19x = -7 Divide each side by '19'. x = -0.3684210526 Simplifying x = -0.3684210526
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