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Simplifying x + 5 = 7(2x + 1) Reorder the terms: 5 + x = 7(2x + 1) Reorder the terms: 5 + x = 7(1 + 2x) 5 + x = (1 * 7 + 2x * 7) 5 + x = (7 + 14x) Solving 5 + x = 7 + 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. 5 + x + -14x = 7 + 14x + -14x Combine like terms: x + -14x = -13x 5 + -13x = 7 + 14x + -14x Combine like terms: 14x + -14x = 0 5 + -13x = 7 + 0 5 + -13x = 7 Add '-5' to each side of the equation. 5 + -5 + -13x = 7 + -5 Combine like terms: 5 + -5 = 0 0 + -13x = 7 + -5 -13x = 7 + -5 Combine like terms: 7 + -5 = 2 -13x = 2 Divide each side by '-13'. x = -0.1538461538 Simplifying x = -0.1538461538
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