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Simplifying x + 17 = 6(5x + -2) Reorder the terms: 17 + x = 6(5x + -2) Reorder the terms: 17 + x = 6(-2 + 5x) 17 + x = (-2 * 6 + 5x * 6) 17 + x = (-12 + 30x) Solving 17 + x = -12 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 17 + x + -30x = -12 + 30x + -30x Combine like terms: x + -30x = -29x 17 + -29x = -12 + 30x + -30x Combine like terms: 30x + -30x = 0 17 + -29x = -12 + 0 17 + -29x = -12 Add '-17' to each side of the equation. 17 + -17 + -29x = -12 + -17 Combine like terms: 17 + -17 = 0 0 + -29x = -12 + -17 -29x = -12 + -17 Combine like terms: -12 + -17 = -29 -29x = -29 Divide each side by '-29'. x = 1 Simplifying x = 1
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