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Simplifying 2x + 3(2x + -1) = x + 67 Reorder the terms: 2x + 3(-1 + 2x) = x + 67 2x + (-1 * 3 + 2x * 3) = x + 67 2x + (-3 + 6x) = x + 67 Reorder the terms: -3 + 2x + 6x = x + 67 Combine like terms: 2x + 6x = 8x -3 + 8x = x + 67 Reorder the terms: -3 + 8x = 67 + x Solving -3 + 8x = 67 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -3 + 8x + -1x = 67 + x + -1x Combine like terms: 8x + -1x = 7x -3 + 7x = 67 + x + -1x Combine like terms: x + -1x = 0 -3 + 7x = 67 + 0 -3 + 7x = 67 Add '3' to each side of the equation. -3 + 3 + 7x = 67 + 3 Combine like terms: -3 + 3 = 0 0 + 7x = 67 + 3 7x = 67 + 3 Combine like terms: 67 + 3 = 70 7x = 70 Divide each side by '7'. x = 10 Simplifying x = 10
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