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Simplifying 6(x + 34) = 13(x + -22) Reorder the terms: 6(34 + x) = 13(x + -22) (34 * 6 + x * 6) = 13(x + -22) (204 + 6x) = 13(x + -22) Reorder the terms: 204 + 6x = 13(-22 + x) 204 + 6x = (-22 * 13 + x * 13) 204 + 6x = (-286 + 13x) Solving 204 + 6x = -286 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 204 + 6x + -13x = -286 + 13x + -13x Combine like terms: 6x + -13x = -7x 204 + -7x = -286 + 13x + -13x Combine like terms: 13x + -13x = 0 204 + -7x = -286 + 0 204 + -7x = -286 Add '-204' to each side of the equation. 204 + -204 + -7x = -286 + -204 Combine like terms: 204 + -204 = 0 0 + -7x = -286 + -204 -7x = -286 + -204 Combine like terms: -286 + -204 = -490 -7x = -490 Divide each side by '-7'. x = 70 Simplifying x = 70
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