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Simplifying 20(5x + 11) = 28(x + -3) Reorder the terms: 20(11 + 5x) = 28(x + -3) (11 * 20 + 5x * 20) = 28(x + -3) (220 + 100x) = 28(x + -3) Reorder the terms: 220 + 100x = 28(-3 + x) 220 + 100x = (-3 * 28 + x * 28) 220 + 100x = (-84 + 28x) Solving 220 + 100x = -84 + 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. 220 + 100x + -28x = -84 + 28x + -28x Combine like terms: 100x + -28x = 72x 220 + 72x = -84 + 28x + -28x Combine like terms: 28x + -28x = 0 220 + 72x = -84 + 0 220 + 72x = -84 Add '-220' to each side of the equation. 220 + -220 + 72x = -84 + -220 Combine like terms: 220 + -220 = 0 0 + 72x = -84 + -220 72x = -84 + -220 Combine like terms: -84 + -220 = -304 72x = -304 Divide each side by '72'. x = -4.222222222 Simplifying x = -4.222222222
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