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Simplifying -30(x + -4) + x = 50(3 + -1x) Reorder the terms: -30(-4 + x) + x = 50(3 + -1x) (-4 * -30 + x * -30) + x = 50(3 + -1x) (120 + -30x) + x = 50(3 + -1x) Combine like terms: -30x + x = -29x 120 + -29x = 50(3 + -1x) 120 + -29x = (3 * 50 + -1x * 50) 120 + -29x = (150 + -50x) Solving 120 + -29x = 150 + -50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '50x' to each side of the equation. 120 + -29x + 50x = 150 + -50x + 50x Combine like terms: -29x + 50x = 21x 120 + 21x = 150 + -50x + 50x Combine like terms: -50x + 50x = 0 120 + 21x = 150 + 0 120 + 21x = 150 Add '-120' to each side of the equation. 120 + -120 + 21x = 150 + -120 Combine like terms: 120 + -120 = 0 0 + 21x = 150 + -120 21x = 150 + -120 Combine like terms: 150 + -120 = 30 21x = 30 Divide each side by '21'. x = 1.428571429 Simplifying x = 1.428571429
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