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Simplifying 8x + -2 + -5x + -23 = 30 + 3x + 8 + -1x Reorder the terms: -2 + -23 + 8x + -5x = 30 + 3x + 8 + -1x Combine like terms: -2 + -23 = -25 -25 + 8x + -5x = 30 + 3x + 8 + -1x Combine like terms: 8x + -5x = 3x -25 + 3x = 30 + 3x + 8 + -1x Reorder the terms: -25 + 3x = 30 + 8 + 3x + -1x Combine like terms: 30 + 8 = 38 -25 + 3x = 38 + 3x + -1x Combine like terms: 3x + -1x = 2x -25 + 3x = 38 + 2x Solving -25 + 3x = 38 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -25 + 3x + -2x = 38 + 2x + -2x Combine like terms: 3x + -2x = 1x -25 + 1x = 38 + 2x + -2x Combine like terms: 2x + -2x = 0 -25 + 1x = 38 + 0 -25 + 1x = 38 Add '25' to each side of the equation. -25 + 25 + 1x = 38 + 25 Combine like terms: -25 + 25 = 0 0 + 1x = 38 + 25 1x = 38 + 25 Combine like terms: 38 + 25 = 63 1x = 63 Divide each side by '1'. x = 63 Simplifying x = 63
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