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Simplifying -3(2x + 2) + 4(6x + 1) = 34 Reorder the terms: -3(2 + 2x) + 4(6x + 1) = 34 (2 * -3 + 2x * -3) + 4(6x + 1) = 34 (-6 + -6x) + 4(6x + 1) = 34 Reorder the terms: -6 + -6x + 4(1 + 6x) = 34 -6 + -6x + (1 * 4 + 6x * 4) = 34 -6 + -6x + (4 + 24x) = 34 Reorder the terms: -6 + 4 + -6x + 24x = 34 Combine like terms: -6 + 4 = -2 -2 + -6x + 24x = 34 Combine like terms: -6x + 24x = 18x -2 + 18x = 34 Solving -2 + 18x = 34 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 18x = 34 + 2 Combine like terms: -2 + 2 = 0 0 + 18x = 34 + 2 18x = 34 + 2 Combine like terms: 34 + 2 = 36 18x = 36 Divide each side by '18'. x = 2 Simplifying x = 2
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