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Simplifying -3(2 + x) = 2(17 + x) (2 * -3 + x * -3) = 2(17 + x) (-6 + -3x) = 2(17 + x) -6 + -3x = (17 * 2 + x * 2) -6 + -3x = (34 + 2x) Solving -6 + -3x = 34 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6 + -3x + -2x = 34 + 2x + -2x Combine like terms: -3x + -2x = -5x -6 + -5x = 34 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + -5x = 34 + 0 -6 + -5x = 34 Add '6' to each side of the equation. -6 + 6 + -5x = 34 + 6 Combine like terms: -6 + 6 = 0 0 + -5x = 34 + 6 -5x = 34 + 6 Combine like terms: 34 + 6 = 40 -5x = 40 Divide each side by '-5'. x = -8 Simplifying x = -8
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