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Simplifying 2(3x + -2) + 2(-1x + 15) = 34 Reorder the terms: 2(-2 + 3x) + 2(-1x + 15) = 34 (-2 * 2 + 3x * 2) + 2(-1x + 15) = 34 (-4 + 6x) + 2(-1x + 15) = 34 Reorder the terms: -4 + 6x + 2(15 + -1x) = 34 -4 + 6x + (15 * 2 + -1x * 2) = 34 -4 + 6x + (30 + -2x) = 34 Reorder the terms: -4 + 30 + 6x + -2x = 34 Combine like terms: -4 + 30 = 26 26 + 6x + -2x = 34 Combine like terms: 6x + -2x = 4x 26 + 4x = 34 Solving 26 + 4x = 34 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 4x = 34 + -26 Combine like terms: 26 + -26 = 0 0 + 4x = 34 + -26 4x = 34 + -26 Combine like terms: 34 + -26 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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