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Simplifying 2x + 3(2x + -1) + -3 = 34 Reorder the terms: 2x + 3(-1 + 2x) + -3 = 34 2x + (-1 * 3 + 2x * 3) + -3 = 34 2x + (-3 + 6x) + -3 = 34 Reorder the terms: -3 + -3 + 2x + 6x = 34 Combine like terms: -3 + -3 = -6 -6 + 2x + 6x = 34 Combine like terms: 2x + 6x = 8x -6 + 8x = 34 Solving -6 + 8x = 34 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 8x = 34 + 6 Combine like terms: -6 + 6 = 0 0 + 8x = 34 + 6 8x = 34 + 6 Combine like terms: 34 + 6 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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