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Simplifying 6(5x + -4) = 7(4x + 5) + -19 Reorder the terms: 6(-4 + 5x) = 7(4x + 5) + -19 (-4 * 6 + 5x * 6) = 7(4x + 5) + -19 (-24 + 30x) = 7(4x + 5) + -19 Reorder the terms: -24 + 30x = 7(5 + 4x) + -19 -24 + 30x = (5 * 7 + 4x * 7) + -19 -24 + 30x = (35 + 28x) + -19 Reorder the terms: -24 + 30x = 35 + -19 + 28x Combine like terms: 35 + -19 = 16 -24 + 30x = 16 + 28x Solving -24 + 30x = 16 + 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. -24 + 30x + -28x = 16 + 28x + -28x Combine like terms: 30x + -28x = 2x -24 + 2x = 16 + 28x + -28x Combine like terms: 28x + -28x = 0 -24 + 2x = 16 + 0 -24 + 2x = 16 Add '24' to each side of the equation. -24 + 24 + 2x = 16 + 24 Combine like terms: -24 + 24 = 0 0 + 2x = 16 + 24 2x = 16 + 24 Combine like terms: 16 + 24 = 40 2x = 40 Divide each side by '2'. x = 20 Simplifying x = 20
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