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Simplifying -6(45x + 20) = -23(-16 + 9x) Reorder the terms: -6(20 + 45x) = -23(-16 + 9x) (20 * -6 + 45x * -6) = -23(-16 + 9x) (-120 + -270x) = -23(-16 + 9x) -120 + -270x = (-16 * -23 + 9x * -23) -120 + -270x = (368 + -207x) Solving -120 + -270x = 368 + -207x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '207x' to each side of the equation. -120 + -270x + 207x = 368 + -207x + 207x Combine like terms: -270x + 207x = -63x -120 + -63x = 368 + -207x + 207x Combine like terms: -207x + 207x = 0 -120 + -63x = 368 + 0 -120 + -63x = 368 Add '120' to each side of the equation. -120 + 120 + -63x = 368 + 120 Combine like terms: -120 + 120 = 0 0 + -63x = 368 + 120 -63x = 368 + 120 Combine like terms: 368 + 120 = 488 -63x = 488 Divide each side by '-63'. x = -7.746031746 Simplifying x = -7.746031746
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