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Simplifying 15x + 7 = 2(7x + -1) + 9 Reorder the terms: 7 + 15x = 2(7x + -1) + 9 Reorder the terms: 7 + 15x = 2(-1 + 7x) + 9 7 + 15x = (-1 * 2 + 7x * 2) + 9 7 + 15x = (-2 + 14x) + 9 Reorder the terms: 7 + 15x = -2 + 9 + 14x Combine like terms: -2 + 9 = 7 7 + 15x = 7 + 14x Add '-7' to each side of the equation. 7 + -7 + 15x = 7 + -7 + 14x Combine like terms: 7 + -7 = 0 0 + 15x = 7 + -7 + 14x 15x = 7 + -7 + 14x Combine like terms: 7 + -7 = 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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