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Simplifying 3(x + -2) + 5(2x + 3) = 35 Reorder the terms: 3(-2 + x) + 5(2x + 3) = 35 (-2 * 3 + x * 3) + 5(2x + 3) = 35 (-6 + 3x) + 5(2x + 3) = 35 Reorder the terms: -6 + 3x + 5(3 + 2x) = 35 -6 + 3x + (3 * 5 + 2x * 5) = 35 -6 + 3x + (15 + 10x) = 35 Reorder the terms: -6 + 15 + 3x + 10x = 35 Combine like terms: -6 + 15 = 9 9 + 3x + 10x = 35 Combine like terms: 3x + 10x = 13x 9 + 13x = 35 Solving 9 + 13x = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 13x = 35 + -9 Combine like terms: 9 + -9 = 0 0 + 13x = 35 + -9 13x = 35 + -9 Combine like terms: 35 + -9 = 26 13x = 26 Divide each side by '13'. x = 2 Simplifying x = 2
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