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Simplifying 6(5x + 4) = 7(4x + -6) Reorder the terms: 6(4 + 5x) = 7(4x + -6) (4 * 6 + 5x * 6) = 7(4x + -6) (24 + 30x) = 7(4x + -6) Reorder the terms: 24 + 30x = 7(-6 + 4x) 24 + 30x = (-6 * 7 + 4x * 7) 24 + 30x = (-42 + 28x) Solving 24 + 30x = -42 + 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 = -42 + 28x + -28x Combine like terms: 30x + -28x = 2x 24 + 2x = -42 + 28x + -28x Combine like terms: 28x + -28x = 0 24 + 2x = -42 + 0 24 + 2x = -42 Add '-24' to each side of the equation. 24 + -24 + 2x = -42 + -24 Combine like terms: 24 + -24 = 0 0 + 2x = -42 + -24 2x = -42 + -24 Combine like terms: -42 + -24 = -66 2x = -66 Divide each side by '2'. x = -33 Simplifying x = -33
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