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Simplifying 6x + 2(2x + -3) = 24 + 9x Reorder the terms: 6x + 2(-3 + 2x) = 24 + 9x 6x + (-3 * 2 + 2x * 2) = 24 + 9x 6x + (-6 + 4x) = 24 + 9x Reorder the terms: -6 + 6x + 4x = 24 + 9x Combine like terms: 6x + 4x = 10x -6 + 10x = 24 + 9x Solving -6 + 10x = 24 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -6 + 10x + -9x = 24 + 9x + -9x Combine like terms: 10x + -9x = 1x -6 + 1x = 24 + 9x + -9x Combine like terms: 9x + -9x = 0 -6 + 1x = 24 + 0 -6 + 1x = 24 Add '6' to each side of the equation. -6 + 6 + 1x = 24 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 24 + 6 1x = 24 + 6 Combine like terms: 24 + 6 = 30 1x = 30 Divide each side by '1'. x = 30 Simplifying x = 30
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