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Simplifying 20(8x + 7) = 30(x + -3) Reorder the terms: 20(7 + 8x) = 30(x + -3) (7 * 20 + 8x * 20) = 30(x + -3) (140 + 160x) = 30(x + -3) Reorder the terms: 140 + 160x = 30(-3 + x) 140 + 160x = (-3 * 30 + x * 30) 140 + 160x = (-90 + 30x) Solving 140 + 160x = -90 + 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. 140 + 160x + -30x = -90 + 30x + -30x Combine like terms: 160x + -30x = 130x 140 + 130x = -90 + 30x + -30x Combine like terms: 30x + -30x = 0 140 + 130x = -90 + 0 140 + 130x = -90 Add '-140' to each side of the equation. 140 + -140 + 130x = -90 + -140 Combine like terms: 140 + -140 = 0 0 + 130x = -90 + -140 130x = -90 + -140 Combine like terms: -90 + -140 = -230 130x = -230 Divide each side by '130'. x = -1.769230769 Simplifying x = -1.769230769
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