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Simplifying 2(3x + -2) + 3(4x + 1) = 35 Reorder the terms: 2(-2 + 3x) + 3(4x + 1) = 35 (-2 * 2 + 3x * 2) + 3(4x + 1) = 35 (-4 + 6x) + 3(4x + 1) = 35 Reorder the terms: -4 + 6x + 3(1 + 4x) = 35 -4 + 6x + (1 * 3 + 4x * 3) = 35 -4 + 6x + (3 + 12x) = 35 Reorder the terms: -4 + 3 + 6x + 12x = 35 Combine like terms: -4 + 3 = -1 -1 + 6x + 12x = 35 Combine like terms: 6x + 12x = 18x -1 + 18x = 35 Solving -1 + 18x = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 18x = 35 + 1 Combine like terms: -1 + 1 = 0 0 + 18x = 35 + 1 18x = 35 + 1 Combine like terms: 35 + 1 = 36 18x = 36 Divide each side by '18'. x = 2 Simplifying x = 2
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