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Simplifying 3(2 + -7x) = -17 + 2x (2 * 3 + -7x * 3) = -17 + 2x (6 + -21x) = -17 + 2x Solving 6 + -21x = -17 + 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 + -21x + -2x = -17 + 2x + -2x Combine like terms: -21x + -2x = -23x 6 + -23x = -17 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + -23x = -17 + 0 6 + -23x = -17 Add '-6' to each side of the equation. 6 + -6 + -23x = -17 + -6 Combine like terms: 6 + -6 = 0 0 + -23x = -17 + -6 -23x = -17 + -6 Combine like terms: -17 + -6 = -23 -23x = -23 Divide each side by '-23'. x = 1 Simplifying x = 1
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