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Simplifying 2(x + 3) + -5(3x + 5) = -17 Reorder the terms: 2(3 + x) + -5(3x + 5) = -17 (3 * 2 + x * 2) + -5(3x + 5) = -17 (6 + 2x) + -5(3x + 5) = -17 Reorder the terms: 6 + 2x + -5(5 + 3x) = -17 6 + 2x + (5 * -5 + 3x * -5) = -17 6 + 2x + (-25 + -15x) = -17 Reorder the terms: 6 + -25 + 2x + -15x = -17 Combine like terms: 6 + -25 = -19 -19 + 2x + -15x = -17 Combine like terms: 2x + -15x = -13x -19 + -13x = -17 Solving -19 + -13x = -17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -13x = -17 + 19 Combine like terms: -19 + 19 = 0 0 + -13x = -17 + 19 -13x = -17 + 19 Combine like terms: -17 + 19 = 2 -13x = 2 Divide each side by '-13'. x = -0.1538461538 Simplifying x = -0.1538461538
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