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Simplifying 15x + 5 = 2(7x + -1) + 7 Reorder the terms: 5 + 15x = 2(7x + -1) + 7 Reorder the terms: 5 + 15x = 2(-1 + 7x) + 7 5 + 15x = (-1 * 2 + 7x * 2) + 7 5 + 15x = (-2 + 14x) + 7 Reorder the terms: 5 + 15x = -2 + 7 + 14x Combine like terms: -2 + 7 = 5 5 + 15x = 5 + 14x Add '-5' to each side of the equation. 5 + -5 + 15x = 5 + -5 + 14x Combine like terms: 5 + -5 = 0 0 + 15x = 5 + -5 + 14x 15x = 5 + -5 + 14x Combine like terms: 5 + -5 = 0 15x = 0 + 14x 15x = 14x Solving 15x = 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. 15x + -14x = 14x + -14x Combine like terms: 15x + -14x = 1x 1x = 14x + -14x Combine like terms: 14x + -14x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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