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Simplifying 2(3x + -5) + 3(3x + 4) = 17 Reorder the terms: 2(-5 + 3x) + 3(3x + 4) = 17 (-5 * 2 + 3x * 2) + 3(3x + 4) = 17 (-10 + 6x) + 3(3x + 4) = 17 Reorder the terms: -10 + 6x + 3(4 + 3x) = 17 -10 + 6x + (4 * 3 + 3x * 3) = 17 -10 + 6x + (12 + 9x) = 17 Reorder the terms: -10 + 12 + 6x + 9x = 17 Combine like terms: -10 + 12 = 2 2 + 6x + 9x = 17 Combine like terms: 6x + 9x = 15x 2 + 15x = 17 Solving 2 + 15x = 17 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 + 15x = 17 + -2 Combine like terms: 2 + -2 = 0 0 + 15x = 17 + -2 15x = 17 + -2 Combine like terms: 17 + -2 = 15 15x = 15 Divide each side by '15'. x = 1 Simplifying x = 1
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