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Simplifying -2x + 12 + -3x = -6x + -10 Reorder the terms: 12 + -2x + -3x = -6x + -10 Combine like terms: -2x + -3x = -5x 12 + -5x = -6x + -10 Reorder the terms: 12 + -5x = -10 + -6x Solving 12 + -5x = -10 + -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. 12 + -5x + 6x = -10 + -6x + 6x Combine like terms: -5x + 6x = 1x 12 + 1x = -10 + -6x + 6x Combine like terms: -6x + 6x = 0 12 + 1x = -10 + 0 12 + 1x = -10 Add '-12' to each side of the equation. 12 + -12 + 1x = -10 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = -10 + -12 1x = -10 + -12 Combine like terms: -10 + -12 = -22 1x = -22 Divide each side by '1'. x = -22 Simplifying x = -22
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