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Simplifying 3(x + -2) + -5(x + -3) = 17 Reorder the terms: 3(-2 + x) + -5(x + -3) = 17 (-2 * 3 + x * 3) + -5(x + -3) = 17 (-6 + 3x) + -5(x + -3) = 17 Reorder the terms: -6 + 3x + -5(-3 + x) = 17 -6 + 3x + (-3 * -5 + x * -5) = 17 -6 + 3x + (15 + -5x) = 17 Reorder the terms: -6 + 15 + 3x + -5x = 17 Combine like terms: -6 + 15 = 9 9 + 3x + -5x = 17 Combine like terms: 3x + -5x = -2x 9 + -2x = 17 Solving 9 + -2x = 17 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 + -2x = 17 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 17 + -9 -2x = 17 + -9 Combine like terms: 17 + -9 = 8 -2x = 8 Divide each side by '-2'. x = -4 Simplifying x = -4
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