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Simplifying 5(6x + -4) = 4(7x + 2) Reorder the terms: 5(-4 + 6x) = 4(7x + 2) (-4 * 5 + 6x * 5) = 4(7x + 2) (-20 + 30x) = 4(7x + 2) Reorder the terms: -20 + 30x = 4(2 + 7x) -20 + 30x = (2 * 4 + 7x * 4) -20 + 30x = (8 + 28x) Solving -20 + 30x = 8 + 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. -20 + 30x + -28x = 8 + 28x + -28x Combine like terms: 30x + -28x = 2x -20 + 2x = 8 + 28x + -28x Combine like terms: 28x + -28x = 0 -20 + 2x = 8 + 0 -20 + 2x = 8 Add '20' to each side of the equation. -20 + 20 + 2x = 8 + 20 Combine like terms: -20 + 20 = 0 0 + 2x = 8 + 20 2x = 8 + 20 Combine like terms: 8 + 20 = 28 2x = 28 Divide each side by '2'. x = 14 Simplifying x = 14
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