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Simplifying -2x + 10 + -12 = 4 + 6x + 18 Reorder the terms: 10 + -12 + -2x = 4 + 6x + 18 Combine like terms: 10 + -12 = -2 -2 + -2x = 4 + 6x + 18 Reorder the terms: -2 + -2x = 4 + 18 + 6x Combine like terms: 4 + 18 = 22 -2 + -2x = 22 + 6x Solving -2 + -2x = 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. -2 + -2x + -6x = 22 + 6x + -6x Combine like terms: -2x + -6x = -8x -2 + -8x = 22 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + -8x = 22 + 0 -2 + -8x = 22 Add '2' to each side of the equation. -2 + 2 + -8x = 22 + 2 Combine like terms: -2 + 2 = 0 0 + -8x = 22 + 2 -8x = 22 + 2 Combine like terms: 22 + 2 = 24 -8x = 24 Divide each side by '-8'. x = -3 Simplifying x = -3
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