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Simplifying 6(3x + -4) = 4(4x + 5) Reorder the terms: 6(-4 + 3x) = 4(4x + 5) (-4 * 6 + 3x * 6) = 4(4x + 5) (-24 + 18x) = 4(4x + 5) Reorder the terms: -24 + 18x = 4(5 + 4x) -24 + 18x = (5 * 4 + 4x * 4) -24 + 18x = (20 + 16x) Solving -24 + 18x = 20 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -24 + 18x + -16x = 20 + 16x + -16x Combine like terms: 18x + -16x = 2x -24 + 2x = 20 + 16x + -16x Combine like terms: 16x + -16x = 0 -24 + 2x = 20 + 0 -24 + 2x = 20 Add '24' to each side of the equation. -24 + 24 + 2x = 20 + 24 Combine like terms: -24 + 24 = 0 0 + 2x = 20 + 24 2x = 20 + 24 Combine like terms: 20 + 24 = 44 2x = 44 Divide each side by '2'. x = 22 Simplifying x = 22
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