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Simplifying 12 + -8x = -2(-3x + 8) Reorder the terms: 12 + -8x = -2(8 + -3x) 12 + -8x = (8 * -2 + -3x * -2) 12 + -8x = (-16 + 6x) Solving 12 + -8x = -16 + 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 + -8x + -6x = -16 + 6x + -6x Combine like terms: -8x + -6x = -14x 12 + -14x = -16 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + -14x = -16 + 0 12 + -14x = -16 Add '-12' to each side of the equation. 12 + -12 + -14x = -16 + -12 Combine like terms: 12 + -12 = 0 0 + -14x = -16 + -12 -14x = -16 + -12 Combine like terms: -16 + -12 = -28 -14x = -28 Divide each side by '-14'. x = 2 Simplifying x = 2
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