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Simplifying 6(x + -4) = 4(x + 9) Reorder the terms: 6(-4 + x) = 4(x + 9) (-4 * 6 + x * 6) = 4(x + 9) (-24 + 6x) = 4(x + 9) Reorder the terms: -24 + 6x = 4(9 + x) -24 + 6x = (9 * 4 + x * 4) -24 + 6x = (36 + 4x) Solving -24 + 6x = 36 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -24 + 6x + -4x = 36 + 4x + -4x Combine like terms: 6x + -4x = 2x -24 + 2x = 36 + 4x + -4x Combine like terms: 4x + -4x = 0 -24 + 2x = 36 + 0 -24 + 2x = 36 Add '24' to each side of the equation. -24 + 24 + 2x = 36 + 24 Combine like terms: -24 + 24 = 0 0 + 2x = 36 + 24 2x = 36 + 24 Combine like terms: 36 + 24 = 60 2x = 60 Divide each side by '2'. x = 30 Simplifying x = 30
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