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Simplifying 10x + -18x + -24 = 5[2x + 3x + 4 + -22] Reorder the terms: -24 + 10x + -18x = 5[2x + 3x + 4 + -22] Combine like terms: 10x + -18x = -8x -24 + -8x = 5[2x + 3x + 4 + -22] Reorder the terms: -24 + -8x = 5[4 + -22 + 2x + 3x] Combine like terms: 4 + -22 = -18 -24 + -8x = 5[-18 + 2x + 3x] Combine like terms: 2x + 3x = 5x -24 + -8x = 5[-18 + 5x] -24 + -8x = [-18 * 5 + 5x * 5] -24 + -8x = [-90 + 25x] Solving -24 + -8x = -90 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. -24 + -8x + -25x = -90 + 25x + -25x Combine like terms: -8x + -25x = -33x -24 + -33x = -90 + 25x + -25x Combine like terms: 25x + -25x = 0 -24 + -33x = -90 + 0 -24 + -33x = -90 Add '24' to each side of the equation. -24 + 24 + -33x = -90 + 24 Combine like terms: -24 + 24 = 0 0 + -33x = -90 + 24 -33x = -90 + 24 Combine like terms: -90 + 24 = -66 -33x = -66 Divide each side by '-33'. x = 2 Simplifying x = 2
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