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Simplifying 2x + 4x + 6x + -2(x + 3) = 34 Reorder the terms: 2x + 4x + 6x + -2(3 + x) = 34 2x + 4x + 6x + (3 * -2 + x * -2) = 34 2x + 4x + 6x + (-6 + -2x) = 34 Reorder the terms: -6 + 2x + 4x + 6x + -2x = 34 Combine like terms: 2x + 4x = 6x -6 + 6x + 6x + -2x = 34 Combine like terms: 6x + 6x = 12x -6 + 12x + -2x = 34 Combine like terms: 12x + -2x = 10x -6 + 10x = 34 Solving -6 + 10x = 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 + 10x = 34 + 6 Combine like terms: -6 + 6 = 0 0 + 10x = 34 + 6 10x = 34 + 6 Combine like terms: 34 + 6 = 40 10x = 40 Divide each side by '10'. x = 4 Simplifying x = 4
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