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Simplifying 394(34x + 1) = 23(12x + -3) Reorder the terms: 394(1 + 34x) = 23(12x + -3) (1 * 394 + 34x * 394) = 23(12x + -3) (394 + 13396x) = 23(12x + -3) Reorder the terms: 394 + 13396x = 23(-3 + 12x) 394 + 13396x = (-3 * 23 + 12x * 23) 394 + 13396x = (-69 + 276x) Solving 394 + 13396x = -69 + 276x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-276x' to each side of the equation. 394 + 13396x + -276x = -69 + 276x + -276x Combine like terms: 13396x + -276x = 13120x 394 + 13120x = -69 + 276x + -276x Combine like terms: 276x + -276x = 0 394 + 13120x = -69 + 0 394 + 13120x = -69 Add '-394' to each side of the equation. 394 + -394 + 13120x = -69 + -394 Combine like terms: 394 + -394 = 0 0 + 13120x = -69 + -394 13120x = -69 + -394 Combine like terms: -69 + -394 = -463 13120x = -463 Divide each side by '13120'. x = -0.03528963415 Simplifying x = -0.03528963415
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