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Simplifying -2x + -12 + 8x + -20 = -3x + 12 + 10 Reorder the terms: -12 + -20 + -2x + 8x = -3x + 12 + 10 Combine like terms: -12 + -20 = -32 -32 + -2x + 8x = -3x + 12 + 10 Combine like terms: -2x + 8x = 6x -32 + 6x = -3x + 12 + 10 Reorder the terms: -32 + 6x = 12 + 10 + -3x Combine like terms: 12 + 10 = 22 -32 + 6x = 22 + -3x Solving -32 + 6x = 22 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -32 + 6x + 3x = 22 + -3x + 3x Combine like terms: 6x + 3x = 9x -32 + 9x = 22 + -3x + 3x Combine like terms: -3x + 3x = 0 -32 + 9x = 22 + 0 -32 + 9x = 22 Add '32' to each side of the equation. -32 + 32 + 9x = 22 + 32 Combine like terms: -32 + 32 = 0 0 + 9x = 22 + 32 9x = 22 + 32 Combine like terms: 22 + 32 = 54 9x = 54 Divide each side by '9'. x = 6 Simplifying x = 6
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