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Simplifying 5x + 24 = 2(X + -9) + -3x Reorder the terms: 24 + 5x = 2(X + -9) + -3x Reorder the terms: 24 + 5x = 2(-9 + X) + -3x 24 + 5x = (-9 * 2 + X * 2) + -3x 24 + 5x = (-18 + 2X) + -3x Solving 24 + 5x = -18 + 2X + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 24 + 5x + 3x = -18 + 2X + -3x + 3x Combine like terms: 5x + 3x = 8x 24 + 8x = -18 + 2X + -3x + 3x Combine like terms: -3x + 3x = 0 24 + 8x = -18 + 2X + 0 24 + 8x = -18 + 2X Add '-24' to each side of the equation. 24 + -24 + 8x = -18 + -24 + 2X Combine like terms: 24 + -24 = 0 0 + 8x = -18 + -24 + 2X 8x = -18 + -24 + 2X Combine like terms: -18 + -24 = -42 8x = -42 + 2X Divide each side by '8'. x = -5.25 + 0.25X Simplifying x = -5.25 + 0.25X
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