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Simplifying 3x + -6 + 6(x + 1) = 7x + 2 Reorder the terms: 3x + -6 + 6(1 + x) = 7x + 2 3x + -6 + (1 * 6 + x * 6) = 7x + 2 3x + -6 + (6 + 6x) = 7x + 2 Reorder the terms: -6 + 6 + 3x + 6x = 7x + 2 Combine like terms: -6 + 6 = 0 0 + 3x + 6x = 7x + 2 3x + 6x = 7x + 2 Combine like terms: 3x + 6x = 9x 9x = 7x + 2 Reorder the terms: 9x = 2 + 7x Solving 9x = 2 + 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. 9x + -7x = 2 + 7x + -7x Combine like terms: 9x + -7x = 2x 2x = 2 + 7x + -7x Combine like terms: 7x + -7x = 0 2x = 2 + 0 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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