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Simplifying -2x + -10 = 6x + 30 + -12 Reorder the terms: -10 + -2x = 6x + 30 + -12 Reorder the terms: -10 + -2x = 30 + -12 + 6x Combine like terms: 30 + -12 = 18 -10 + -2x = 18 + 6x Solving -10 + -2x = 18 + 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 + -2x + -6x = 18 + 6x + -6x Combine like terms: -2x + -6x = -8x -10 + -8x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 -10 + -8x = 18 + 0 -10 + -8x = 18 Add '10' to each side of the equation. -10 + 10 + -8x = 18 + 10 Combine like terms: -10 + 10 = 0 0 + -8x = 18 + 10 -8x = 18 + 10 Combine like terms: 18 + 10 = 28 -8x = 28 Divide each side by '-8'. x = -3.5 Simplifying x = -3.5
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