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Simplifying 7(2x + -2) + 1 = 1 + 7x Reorder the terms: 7(-2 + 2x) + 1 = 1 + 7x (-2 * 7 + 2x * 7) + 1 = 1 + 7x (-14 + 14x) + 1 = 1 + 7x Reorder the terms: -14 + 1 + 14x = 1 + 7x Combine like terms: -14 + 1 = -13 -13 + 14x = 1 + 7x Solving -13 + 14x = 1 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -13 + 14x + -7x = 1 + 7x + -7x Combine like terms: 14x + -7x = 7x -13 + 7x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 -13 + 7x = 1 + 0 -13 + 7x = 1 Add '13' to each side of the equation. -13 + 13 + 7x = 1 + 13 Combine like terms: -13 + 13 = 0 0 + 7x = 1 + 13 7x = 1 + 13 Combine like terms: 1 + 13 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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