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Simplifying 8x + -12 = 2(3x + -13) Reorder the terms: -12 + 8x = 2(3x + -13) Reorder the terms: -12 + 8x = 2(-13 + 3x) -12 + 8x = (-13 * 2 + 3x * 2) -12 + 8x = (-26 + 6x) Solving -12 + 8x = -26 + 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 = -26 + 6x + -6x Combine like terms: 8x + -6x = 2x -12 + 2x = -26 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + 2x = -26 + 0 -12 + 2x = -26 Add '12' to each side of the equation. -12 + 12 + 2x = -26 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = -26 + 12 2x = -26 + 12 Combine like terms: -26 + 12 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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