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Simplifying 20(8x + 19) = 28(x + -4) Reorder the terms: 20(19 + 8x) = 28(x + -4) (19 * 20 + 8x * 20) = 28(x + -4) (380 + 160x) = 28(x + -4) Reorder the terms: 380 + 160x = 28(-4 + x) 380 + 160x = (-4 * 28 + x * 28) 380 + 160x = (-112 + 28x) Solving 380 + 160x = -112 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 380 + 160x + -28x = -112 + 28x + -28x Combine like terms: 160x + -28x = 132x 380 + 132x = -112 + 28x + -28x Combine like terms: 28x + -28x = 0 380 + 132x = -112 + 0 380 + 132x = -112 Add '-380' to each side of the equation. 380 + -380 + 132x = -112 + -380 Combine like terms: 380 + -380 = 0 0 + 132x = -112 + -380 132x = -112 + -380 Combine like terms: -112 + -380 = -492 132x = -492 Divide each side by '132'. x = -3.727272727 Simplifying x = -3.727272727
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