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Simplifying 20(-10x + 8) = 30(x + -2) Reorder the terms: 20(8 + -10x) = 30(x + -2) (8 * 20 + -10x * 20) = 30(x + -2) (160 + -200x) = 30(x + -2) Reorder the terms: 160 + -200x = 30(-2 + x) 160 + -200x = (-2 * 30 + x * 30) 160 + -200x = (-60 + 30x) Solving 160 + -200x = -60 + 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. 160 + -200x + -30x = -60 + 30x + -30x Combine like terms: -200x + -30x = -230x 160 + -230x = -60 + 30x + -30x Combine like terms: 30x + -30x = 0 160 + -230x = -60 + 0 160 + -230x = -60 Add '-160' to each side of the equation. 160 + -160 + -230x = -60 + -160 Combine like terms: 160 + -160 = 0 0 + -230x = -60 + -160 -230x = -60 + -160 Combine like terms: -60 + -160 = -220 -230x = -220 Divide each side by '-230'. x = 0.9565217391 Simplifying x = 0.9565217391
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