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Simplifying 7x + 1 = 3(2x + -2) + 7 Reorder the terms: 1 + 7x = 3(2x + -2) + 7 Reorder the terms: 1 + 7x = 3(-2 + 2x) + 7 1 + 7x = (-2 * 3 + 2x * 3) + 7 1 + 7x = (-6 + 6x) + 7 Reorder the terms: 1 + 7x = -6 + 7 + 6x Combine like terms: -6 + 7 = 1 1 + 7x = 1 + 6x Add '-1' to each side of the equation. 1 + -1 + 7x = 1 + -1 + 6x Combine like terms: 1 + -1 = 0 0 + 7x = 1 + -1 + 6x 7x = 1 + -1 + 6x Combine like terms: 1 + -1 = 0 7x = 0 + 6x 7x = 6x Solving 7x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 7x + -6x = 6x + -6x Combine like terms: 7x + -6x = 1x 1x = 6x + -6x Combine like terms: 6x + -6x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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