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Simplifying 8x + -12 + -10x + -30 = 5x + -10 Reorder the terms: -12 + -30 + 8x + -10x = 5x + -10 Combine like terms: -12 + -30 = -42 -42 + 8x + -10x = 5x + -10 Combine like terms: 8x + -10x = -2x -42 + -2x = 5x + -10 Reorder the terms: -42 + -2x = -10 + 5x Solving -42 + -2x = -10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -42 + -2x + -5x = -10 + 5x + -5x Combine like terms: -2x + -5x = -7x -42 + -7x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 -42 + -7x = -10 + 0 -42 + -7x = -10 Add '42' to each side of the equation. -42 + 42 + -7x = -10 + 42 Combine like terms: -42 + 42 = 0 0 + -7x = -10 + 42 -7x = -10 + 42 Combine like terms: -10 + 42 = 32 -7x = 32 Divide each side by '-7'. x = -4.571428571 Simplifying x = -4.571428571
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