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Simplifying 7x + -2 = 2(3x + 5) + -8 Reorder the terms: -2 + 7x = 2(3x + 5) + -8 Reorder the terms: -2 + 7x = 2(5 + 3x) + -8 -2 + 7x = (5 * 2 + 3x * 2) + -8 -2 + 7x = (10 + 6x) + -8 Reorder the terms: -2 + 7x = 10 + -8 + 6x Combine like terms: 10 + -8 = 2 -2 + 7x = 2 + 6x Solving -2 + 7x = 2 + 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. -2 + 7x + -6x = 2 + 6x + -6x Combine like terms: 7x + -6x = 1x -2 + 1x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + 1x = 2 + 0 -2 + 1x = 2 Add '2' to each side of the equation. -2 + 2 + 1x = 2 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = 2 + 2 1x = 2 + 2 Combine like terms: 2 + 2 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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