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Simplifying 18x + -24 = 2(5x + 4) + 6x Reorder the terms: -24 + 18x = 2(5x + 4) + 6x Reorder the terms: -24 + 18x = 2(4 + 5x) + 6x -24 + 18x = (4 * 2 + 5x * 2) + 6x -24 + 18x = (8 + 10x) + 6x Combine like terms: 10x + 6x = 16x -24 + 18x = 8 + 16x Solving -24 + 18x = 8 + 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 = 8 + 16x + -16x Combine like terms: 18x + -16x = 2x -24 + 2x = 8 + 16x + -16x Combine like terms: 16x + -16x = 0 -24 + 2x = 8 + 0 -24 + 2x = 8 Add '24' to each side of the equation. -24 + 24 + 2x = 8 + 24 Combine like terms: -24 + 24 = 0 0 + 2x = 8 + 24 2x = 8 + 24 Combine like terms: 8 + 24 = 32 2x = 32 Divide each side by '2'. x = 16 Simplifying x = 16
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