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Simplifying 4(3x + 2) + -3(2x + -1) = 35 Reorder the terms: 4(2 + 3x) + -3(2x + -1) = 35 (2 * 4 + 3x * 4) + -3(2x + -1) = 35 (8 + 12x) + -3(2x + -1) = 35 Reorder the terms: 8 + 12x + -3(-1 + 2x) = 35 8 + 12x + (-1 * -3 + 2x * -3) = 35 8 + 12x + (3 + -6x) = 35 Reorder the terms: 8 + 3 + 12x + -6x = 35 Combine like terms: 8 + 3 = 11 11 + 12x + -6x = 35 Combine like terms: 12x + -6x = 6x 11 + 6x = 35 Solving 11 + 6x = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 6x = 35 + -11 Combine like terms: 11 + -11 = 0 0 + 6x = 35 + -11 6x = 35 + -11 Combine like terms: 35 + -11 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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