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Simplifying 5(6x + -2) = 4(7x + -6) Reorder the terms: 5(-2 + 6x) = 4(7x + -6) (-2 * 5 + 6x * 5) = 4(7x + -6) (-10 + 30x) = 4(7x + -6) Reorder the terms: -10 + 30x = 4(-6 + 7x) -10 + 30x = (-6 * 4 + 7x * 4) -10 + 30x = (-24 + 28x) Solving -10 + 30x = -24 + 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. -10 + 30x + -28x = -24 + 28x + -28x Combine like terms: 30x + -28x = 2x -10 + 2x = -24 + 28x + -28x Combine like terms: 28x + -28x = 0 -10 + 2x = -24 + 0 -10 + 2x = -24 Add '10' to each side of the equation. -10 + 10 + 2x = -24 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = -24 + 10 2x = -24 + 10 Combine like terms: -24 + 10 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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