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Simplifying 2x + 1 = -2(7x + 7) + 14 Reorder the terms: 1 + 2x = -2(7x + 7) + 14 Reorder the terms: 1 + 2x = -2(7 + 7x) + 14 1 + 2x = (7 * -2 + 7x * -2) + 14 1 + 2x = (-14 + -14x) + 14 Reorder the terms: 1 + 2x = -14 + 14 + -14x Combine like terms: -14 + 14 = 0 1 + 2x = 0 + -14x 1 + 2x = -14x Solving 1 + 2x = -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. 1 + 2x + 14x = -14x + 14x Combine like terms: 2x + 14x = 16x 1 + 16x = -14x + 14x Combine like terms: -14x + 14x = 0 1 + 16x = 0 Add '-1' to each side of the equation. 1 + -1 + 16x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 16x = 0 + -1 16x = 0 + -1 Combine like terms: 0 + -1 = -1 16x = -1 Divide each side by '16'. x = -0.0625 Simplifying x = -0.0625
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