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Simplifying 7x + 2 = 3(2x + -2) + 8 Reorder the terms: 2 + 7x = 3(2x + -2) + 8 Reorder the terms: 2 + 7x = 3(-2 + 2x) + 8 2 + 7x = (-2 * 3 + 2x * 3) + 8 2 + 7x = (-6 + 6x) + 8 Reorder the terms: 2 + 7x = -6 + 8 + 6x Combine like terms: -6 + 8 = 2 2 + 7x = 2 + 6x Add '-2' to each side of the equation. 2 + -2 + 7x = 2 + -2 + 6x Combine like terms: 2 + -2 = 0 0 + 7x = 2 + -2 + 6x 7x = 2 + -2 + 6x Combine like terms: 2 + -2 = 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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