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Simplifying 2(x + -3) + -3(2x + -1) = 17 Reorder the terms: 2(-3 + x) + -3(2x + -1) = 17 (-3 * 2 + x * 2) + -3(2x + -1) = 17 (-6 + 2x) + -3(2x + -1) = 17 Reorder the terms: -6 + 2x + -3(-1 + 2x) = 17 -6 + 2x + (-1 * -3 + 2x * -3) = 17 -6 + 2x + (3 + -6x) = 17 Reorder the terms: -6 + 3 + 2x + -6x = 17 Combine like terms: -6 + 3 = -3 -3 + 2x + -6x = 17 Combine like terms: 2x + -6x = -4x -3 + -4x = 17 Solving -3 + -4x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -4x = 17 + 3 Combine like terms: -3 + 3 = 0 0 + -4x = 17 + 3 -4x = 17 + 3 Combine like terms: 17 + 3 = 20 -4x = 20 Divide each side by '-4'. x = -5 Simplifying x = -5
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