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Simplifying -3x + -3x + 8x + -24 = 6x + 7 + -5x Reorder the terms: -24 + -3x + -3x + 8x = 6x + 7 + -5x Combine like terms: -3x + -3x = -6x -24 + -6x + 8x = 6x + 7 + -5x Combine like terms: -6x + 8x = 2x -24 + 2x = 6x + 7 + -5x Reorder the terms: -24 + 2x = 7 + 6x + -5x Combine like terms: 6x + -5x = 1x -24 + 2x = 7 + 1x Solving -24 + 2x = 7 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -24 + 2x + -1x = 7 + 1x + -1x Combine like terms: 2x + -1x = 1x -24 + 1x = 7 + 1x + -1x Combine like terms: 1x + -1x = 0 -24 + 1x = 7 + 0 -24 + 1x = 7 Add '24' to each side of the equation. -24 + 24 + 1x = 7 + 24 Combine like terms: -24 + 24 = 0 0 + 1x = 7 + 24 1x = 7 + 24 Combine like terms: 7 + 24 = 31 1x = 31 Divide each side by '1'. x = 31 Simplifying x = 31
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