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Simplifying 5x + -20 + 10 = 6x + 12 + 10 Reorder the terms: -20 + 10 + 5x = 6x + 12 + 10 Combine like terms: -20 + 10 = -10 -10 + 5x = 6x + 12 + 10 Reorder the terms: -10 + 5x = 12 + 10 + 6x Combine like terms: 12 + 10 = 22 -10 + 5x = 22 + 6x Solving -10 + 5x = 22 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -10 + 5x + -6x = 22 + 6x + -6x Combine like terms: 5x + -6x = -1x -10 + -1x = 22 + 6x + -6x Combine like terms: 6x + -6x = 0 -10 + -1x = 22 + 0 -10 + -1x = 22 Add '10' to each side of the equation. -10 + 10 + -1x = 22 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = 22 + 10 -1x = 22 + 10 Combine like terms: 22 + 10 = 32 -1x = 32 Divide each side by '-1'. x = -32 Simplifying x = -32
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