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Simplifying -2(-6 + 3x) = -2x + 10 + -3x (-6 * -2 + 3x * -2) = -2x + 10 + -3x (12 + -6x) = -2x + 10 + -3x Reorder the terms: 12 + -6x = 10 + -2x + -3x Combine like terms: -2x + -3x = -5x 12 + -6x = 10 + -5x Solving 12 + -6x = 10 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 12 + -6x + 5x = 10 + -5x + 5x Combine like terms: -6x + 5x = -1x 12 + -1x = 10 + -5x + 5x Combine like terms: -5x + 5x = 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 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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