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Simplifying 17 + x = 3(8x + -2) Reorder the terms: 17 + x = 3(-2 + 8x) 17 + x = (-2 * 3 + 8x * 3) 17 + x = (-6 + 24x) Solving 17 + x = -6 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 17 + x + -24x = -6 + 24x + -24x Combine like terms: x + -24x = -23x 17 + -23x = -6 + 24x + -24x Combine like terms: 24x + -24x = 0 17 + -23x = -6 + 0 17 + -23x = -6 Add '-17' to each side of the equation. 17 + -17 + -23x = -6 + -17 Combine like terms: 17 + -17 = 0 0 + -23x = -6 + -17 -23x = -6 + -17 Combine like terms: -6 + -17 = -23 -23x = -23 Divide each side by '-23'. x = 1 Simplifying x = 1
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