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Simplifying 8x + -2 + -5x + 25 = 30 + 3x + 8x + -1x Reorder the terms: -2 + 25 + 8x + -5x = 30 + 3x + 8x + -1x Combine like terms: -2 + 25 = 23 23 + 8x + -5x = 30 + 3x + 8x + -1x Combine like terms: 8x + -5x = 3x 23 + 3x = 30 + 3x + 8x + -1x Combine like terms: 3x + 8x = 11x 23 + 3x = 30 + 11x + -1x Combine like terms: 11x + -1x = 10x 23 + 3x = 30 + 10x Solving 23 + 3x = 30 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 23 + 3x + -10x = 30 + 10x + -10x Combine like terms: 3x + -10x = -7x 23 + -7x = 30 + 10x + -10x Combine like terms: 10x + -10x = 0 23 + -7x = 30 + 0 23 + -7x = 30 Add '-23' to each side of the equation. 23 + -23 + -7x = 30 + -23 Combine like terms: 23 + -23 = 0 0 + -7x = 30 + -23 -7x = 30 + -23 Combine like terms: 30 + -23 = 7 -7x = 7 Divide each side by '-7'. x = -1 Simplifying x = -1
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