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Simplifying 5x + -10 = 8x + -46 Reorder the terms: -10 + 5x = 8x + -46 Reorder the terms: -10 + 5x = -46 + 8x Solving -10 + 5x = -46 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -10 + 5x + -8x = -46 + 8x + -8x Combine like terms: 5x + -8x = -3x -10 + -3x = -46 + 8x + -8x Combine like terms: 8x + -8x = 0 -10 + -3x = -46 + 0 -10 + -3x = -46 Add '10' to each side of the equation. -10 + 10 + -3x = -46 + 10 Combine like terms: -10 + 10 = 0 0 + -3x = -46 + 10 -3x = -46 + 10 Combine like terms: -46 + 10 = -36 -3x = -36 Divide each side by '-3'. x = 12 Simplifying x = 12
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