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